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style="display:inline-block; float: left;" onfocus="this.value == 'Search' ? this.value = '' : true" onblur="this.value == '' ? this.value = 'Search' : true" /></fieldset> </form> <span id='navEnd'></span> </div> <div id="revision"> <html xmlns="http://www.w3.org/1999/xhtml" xmlns:svg="http://www.w3.org/2000/svg" xml:lang="en" lang="en"> <head><meta http-equiv="Content-type" content="application/xhtml+xml;charset=utf-8" /><title>The Brane molecule</title></head> <body> <p>The <strong><a class="existingWikiWord" href="/nlab/show/brane">brane</a> scan</strong>.</p> <p>The <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+action+functional">Green-Schwarz type</a> super <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>p</mi></mrow><annotation encoding="application/x-tex">p</annotation></semantics></math>-<a class="existingWikiWord" href="/nlab/show/brane">brane</a> <a class="existingWikiWord" href="/nlab/show/sigma-models">sigma-models</a> (see at <em><a class="existingWikiWord" href="/nlab/show/table+of+branes">table of branes</a></em> for further links and see at <em><a class="existingWikiWord" href="/schreiber/show/The+brane+bouquet">The brane bouquet</a></em> for the full classification):</p> <table><thead><tr><th><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mover><mo>=</mo><mi>d</mi></mover></mrow><annotation encoding="application/x-tex">\stackrel{d}{=}</annotation></semantics></math></th><th><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>p</mi><mo>=</mo></mrow><annotation encoding="application/x-tex">p =</annotation></semantics></math></th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>6</th><th>7</th><th>8</th><th>9</th></tr></thead><tbody><tr><td style="text-align: left;">11</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/M2-brane">M2</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/M5-brane">M5</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">10</td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D0-brane">D0</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/F1-brane">F1</a>, <a class="existingWikiWord" href="/nlab/show/D1-brane">D1</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D2-brane">D2</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D3-brane">D3</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D4-brane">D4</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/NS5-brane">NS5</a>, <a class="existingWikiWord" href="/nlab/show/D5-brane">D5</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D6-brane">D6</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D7-brane">D7</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D8-brane">D8</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/D9-brane">D9</a></td></tr> <tr><td style="text-align: left;">9</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/super+4-brane+in+9d">*</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">8</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/super+3-brane+in+8d">*</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">7</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/topological+M2-brane">M2</a><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msub><mrow></mrow> <mi>top</mi></msub></mrow><annotation encoding="application/x-tex">{}_{top}</annotation></semantics></math></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">6</td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/little+string">F1</a><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msub><mrow></mrow> <mi>little</mi></msub></mrow><annotation encoding="application/x-tex">{}_{little}</annotation></semantics></math>, <a class="existingWikiWord" href="/nlab/show/self-dual+string">S1</a><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msub><mrow></mrow> <mi>sd</mi></msub></mrow><annotation encoding="application/x-tex">{}_{sd}</annotation></semantics></math></td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/3-brane+in+6d">S3</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">5</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/super+2-brane+in+5d">*</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">4</td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/super+1-brane+in+4d">*</a></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/super+2-brane+in+4d">*</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">3</td><td style="text-align: left;"></td><td style="text-align: left;"><a class="existingWikiWord" href="/nlab/show/super+1-brane+in+3d">*</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> </tbody></table> <p>(The first columns follow the <a class="existingWikiWord" href="/nlab/show/exceptional+spinors+table">exceptional spinors table</a>.)</p> <p>The corresponding exceptional <a class="existingWikiWord" href="/nlab/show/super+L-%E2%88%9E+algebra">super L-∞ algebra</a> <a class="existingWikiWord" href="/nlab/show/%E2%88%9E-Lie+algebra+cohomology">cocycles</a> (schematically, without prefactors):</p> <table><thead><tr><th><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mover><mo>=</mo><mi>d</mi></mover></mrow><annotation encoding="application/x-tex">\stackrel{d}{=}</annotation></semantics></math></th><th><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>p</mi><mo>=</mo></mrow><annotation encoding="application/x-tex">p =</annotation></semantics></math></th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>6</th><th>7</th><th>8</th><th>9</th></tr></thead><tbody><tr><td style="text-align: left;">11</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>2</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^2</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(10,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>5</mn></msup><mo>+</mo><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>2</mn></msup><msub><mi>C</mi> <mn>3</mn></msub></mrow><annotation encoding="application/x-tex">\Psi^2 E^5 + \Psi^2 E^2 C_3</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/m2brane">m2brane</a></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">10</td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>1</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^1</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(9,1)</td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msubsup><mi>B</mi> <mn>2</mn> <mn>2</mn></msubsup><mo>+</mo><msub><mi>B</mi> <mn>2</mn></msub><msup><mi>Ψ</mi> <mn>2</mn></msup><mo>+</mo><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>2</mn></msup></mrow><annotation encoding="application/x-tex">B_2^2 + B_2 \Psi^2 + \Psi^2 E^2</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/type+II+supergravity+Lie+2-algebra">StringIIA</a></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>⋯</mi></mrow><annotation encoding="application/x-tex">\cdots</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/type+II+supergravity+Lie+2-algebra">StringIIB</a></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msubsup><mi>B</mi> <mn>2</mn> <mn>3</mn></msubsup><mo>+</mo><msubsup><mi>B</mi> <mn>2</mn> <mn>2</mn></msubsup><msup><mi>Ψ</mi> <mn>2</mn></msup><mo>+</mo><msub><mi>B</mi> <mn>2</mn></msub><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>2</mn></msup><mo>+</mo><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>4</mn></msup></mrow><annotation encoding="application/x-tex">B_2^3 + B_2^2 \Psi^2 + B_2 \Psi^2 E^2 + \Psi^2 E^4</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/type+II+supergravity+Lie+2-algebra">StringIIA</a></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>5</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^5</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(9,1)</td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msubsup><mi>B</mi> <mn>2</mn> <mn>4</mn></msubsup><mo>+</mo><mi>⋯</mi><mo>+</mo><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>6</mn></msup></mrow><annotation encoding="application/x-tex">B_2^4 + \cdots + \Psi^2 E^6</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/type+II+supergravity+Lie+2-algebra">StringIIA</a></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>⋯</mi></mrow><annotation encoding="application/x-tex">\cdots</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/type+II+supergravity+Lie+2-algebra">StringIIB</a></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msubsup><mi>B</mi> <mn>2</mn> <mn>5</mn></msubsup><mo>+</mo><mi>⋯</mi><mo>+</mo><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>8</mn></msup></mrow><annotation encoding="application/x-tex">B_2^5 + \cdots + \Psi^2 E^8</annotation></semantics></math> in <a class="existingWikiWord" href="/nlab/show/type+II+supergravity+Lie+2-algebra">StringIIA</a></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>⋯</mi></mrow><annotation encoding="application/x-tex">\cdots</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/type+II+supergravity+Lie+2-algebra">StringIIB</a></td></tr> <tr><td style="text-align: left;">9</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>4</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^4</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(8,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">8</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>3</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^3</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(7,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">7</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>2</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^2</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(6,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">6</td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>1</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^1</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(5,1)</td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>3</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^3</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(5,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">5</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>2</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^2</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(4,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">4</td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>1</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^1</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(3,1)</td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>2</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^2</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(3,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> <tr><td style="text-align: left;">3</td><td style="text-align: left;"></td><td style="text-align: left;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msup><mi>Ψ</mi> <mn>2</mn></msup><msup><mi>E</mi> <mn>1</mn></msup></mrow><annotation encoding="application/x-tex">\Psi^2 E^1</annotation></semantics></math> on <a class="existingWikiWord" href="/nlab/show/super+Poincare+Lie+algebra">sIso</a>(2,1)</td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td><td style="text-align: left;"></td></tr> </tbody></table> <h3 id="the_brane_molecule">The Brane molecule</h3> <p>Furthermore, there exists a more general classification of possible supermembranes in spacetime with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>S</mi></mrow><annotation encoding="application/x-tex">S</annotation></semantics></math> spatial dimensions and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>T</mi></mrow><annotation encoding="application/x-tex">T</annotation></semantics></math> time dimensions, appearing in (<a href="#BlencoweDuff88">Blencowe-Duff 88</a>). In this sense, the brane scan is but the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>T</mi><mo>=</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">T=1</annotation></semantics></math> branch of the brane molecule. The objects appearing here are expected to be related to other generalizations of string theory. See <a class="existingWikiWord" href="/nlab/show/D%3D12+supergravity">D=12 supergravity</a> and <a class="existingWikiWord" href="/nlab/show/bosonic+M-theory">bosonic M-theory</a>.</p> <p><img src="/nlab/files/branemoleculepc.png" alt="The brane molecule without assuming super Poincare invariance." /></p> <p>Compare:</p> <ul> <li id="BlencoweDuff88"> <p><a class="existingWikiWord" href="/nlab/show/Miles+Blencowe">Miles Blencowe</a>, <a class="existingWikiWord" href="/nlab/show/Mike+Duff">Mike Duff</a>, <em>Supermembranes and the Signature of Space-time</em>, Nucl. Phys. B310 (1988) 387-404 (<a href="inspirehep.net/record/262142">spire:262142</a>, <a href="https://doi.org/10.1016/0550-3213(88)90155-1">10.1016/0550-3213(88)90155-1</a>, <a href="http://inspirehep.net/record/262142/files/cer-000099708.pdf">pdf</a>)</p> </li> <li> <p><em><a class="existingWikiWord" href="/nlab/show/brane+bouquet">brane bouquet</a></em></p> </li> </ul> </body></html> </div> <div class="revisedby"> <p> Last revised on February 18, 2024 at 16:43:45. See the <a href="/nlab/history/brane+scan" style="color: #005c19">history</a> of this page for a list of all contributions to it. </p> </div> <div class="navigation navfoot"> <a href="/nlab/edit/brane+scan" accesskey="E" class="navlink" id="edit" rel="nofollow">Edit</a><a href="https://nforum.ncatlab.org/discussion/4929/#Item_22">Discuss</a><span class="backintime"><a href="/nlab/revision/brane+scan/18" accesskey="B" class="navlinkbackintime" id="to_previous_revision" rel="nofollow">Previous revision</a></span><a href="/nlab/show/diff/brane+scan" accesskey="C" class="navlink" id="see_changes" rel="nofollow">Changes from previous revision</a><a href="/nlab/history/brane+scan" accesskey="S" class="navlink" id="history" rel="nofollow">History (18 revisions)</a> <a href="/nlab/show/brane+scan/cite" style="color: black">Cite</a> <a href="/nlab/print/brane+scan" accesskey="p" id="view_print" rel="nofollow">Print</a> <a href="/nlab/source/brane+scan" id="view_source" rel="nofollow">Source</a> </div> </div>  </div>  </body> </html>