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Teoria WZW bidimensional – Wikipédia, a enciclopédia livre

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class="vector-toc-numb">1.1</span> <span>Notas</span> </div> </a> <ul id="toc-Notas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referências" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Referências"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Referências</span> </div> </a> <ul id="toc-Referências-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Conteúdo" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Alternar o índice" > <label 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href="https://es.wikipedia.org/wiki/Modelo_de_Wess-Zumino-Witten" title="Modelo de Wess-Zumino-Witten — espanhol" lang="es" hreflang="es" data-title="Modelo de Wess-Zumino-Witten" data-language-autonym="Español" data-language-local-name="espanhol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Mod%C3%A8le_de_Wess-Zumino-Novikov-Witten" title="Modèle de Wess-Zumino-Novikov-Witten — francês" lang="fr" hreflang="fr" data-title="Modèle de Wess-Zumino-Novikov-Witten" data-language-autonym="Français" data-language-local-name="francês" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/WZW%E3%83%A2%E3%83%87%E3%83%AB" title="WZWモデル — japonês" lang="ja" hreflang="ja" data-title="WZWモデル" data-language-autonym="日本語" data-language-local-name="japonês" 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id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="pt" dir="ltr"><p>Em <a href="/wiki/F%C3%ADsica_te%C3%B3rica" title="Física teórica">física teórica</a> e <a href="/wiki/Matem%C3%A1tica" title="Matemática">matemática</a>, a <b>teoria WZW bidimensional</b>,<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span>[</span>1<span>]</span></a></sup> descrita por um modelo sigma não linear com interação não-local, foi originalmente estudada por <a href="/wiki/Edward_Witten" title="Edward Witten">Witten</a> <sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span>[</span>nota 1<span>]</span></a></sup> como uma teoria equivalente aos <a href="/wiki/F%C3%A9rmion" title="Férmion">férmions</a> sem massa não-interativos, proporcionando regras de bosonização não-abelianas para interações fermiônicas teóricas.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span>[</span>2<span>]</span></a></sup> A ação WZW também é conhecida como o necessário contra-termo de anulação de anomalias quânticas<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span>[</span>3<span>]</span></a></sup>(a quebra de uma simetria clássica ao nível quântico). </p> <h2 id="Notas_e_referências" style="cursor: help;" title="Esta seção foi configurada para não ser editável diretamente. Edite a página toda ou a seção anterior em vez disso."><span id="Notas_e_refer.C3.AAncias"></span>Notas e referências</h2><h3 id="Notas" style="cursor: help;" title="Esta seção foi configurada para não ser editável diretamente. Edite a página toda ou a seção anterior em vez disso.">Notas</h3> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">o Modelo Wess-Zumino-Witten (WZW), também chamado de Modelo de Wess-Zumino-Novikov-Witten, é um modelo simples da <a href="/w/index.php?title=Teoria_de_campo_conforme&amp;action=edit&amp;redlink=1" class="new" title="Teoria de campo conforme (página não existe)">teoria de campo conforme</a> cujas soluções são realizados por álgebras de Kac-Moody afim. Leva o nome do <a href="/wiki/Julius_Wess" title="Julius Wess">Julius Wess</a>, <a href="/wiki/Bruno_Zumino" title="Bruno Zumino">Bruno Zumino</a>, <a href="/wiki/Sergei_Novikov" title="Sergei Novikov">Sergei Novikov</a> e <a href="/wiki/Edward_Witten" title="Edward Witten">Edward Witten</a>.</span> </li> </ol></div></div> <div class="reflist" style="list-style-type: lower-alpha;"></div> <div class="reflist" style="list-style-type: decimal;"></div> <div class="reflist" style="list-style-type: lower-alpha;"></div> <div class="reflist" style="list-style-type: decimal;"></div> <div class="reflist" style="list-style-type: lower-alpha;"></div> <h3 id="Referências" style="cursor: help;" title="Esta seção foi configurada para não ser editável diretamente. Edite a página toda ou a seção anterior em vez disso."><span id="Refer.C3.AAncias"></span>Referências</h3> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite class="citation web">Krzysztof Gaw¸edzki (7 de agosto de 2001). <a rel="nofollow" class="external text" href="http://arxiv.org/pdf/hep-th/0108044.pdf">«Boundary WZW, G/H, G/G and CS theories»</a> <span style="font-size:85%;">(PDF)</span>. C.N.R.S., I.H.E.S., F-91440 Bures-sur-Yvette, France and Laboratoire de Physique, ENS-Lyon<span class="reference-accessdate">. Consultado em 1 de novembro de 2013</span></cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fpt.wikipedia.org%3ATeoria+WZW+bidimensional&amp;rft.au=Krzysztof+Gaw%B8edzki&amp;rft.btitle=Boundary+WZW%2C+G%2FH%2C+G%2FG+and+CS+theories&amp;rft.date=2001-08-07&amp;rft.genre=unknown&amp;rft.pub=C.N.R.S.%2C+I.H.E.S.%2C+F-91440+Bures-sur-Yvette%2C+France+and+Laboratoire+de+Physique%2C+ENS-Lyon&amp;rft_id=http%3A%2F%2Farxiv.org%2Fpdf%2Fhep-th%2F0108044.pdf&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><cite class="citation web">The nLab (16 out. 2013). <a rel="nofollow" class="external text" href="http://ncatlab.org/nlab/show/Wess-Zumino-Witten+model">«Wess-Zumino-Witten model»</a>. The nLab<span class="reference-accessdate">. Consultado em 5 de novembro de 2013</span></cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fpt.wikipedia.org%3ATeoria+WZW+bidimensional&amp;rft.au=The+nLab&amp;rft.btitle=Wess-Zumino-Witten+model&amp;rft.date=2013-10-16&amp;rft.genre=unknown&amp;rft.pub=The+nLab&amp;rft_id=http%3A%2F%2Fncatlab.org%2Fnlab%2Fshow%2FWess-Zumino-Witten%2Bmodel&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><cite class="citation web">Tigran A. Sedrakyan e Victor Galitski (3 de dezembro de 2010). <a rel="nofollow" class="external text" href="http://terpconnect.umd.edu/~galitski/pubs/pub42.pdf">«Boundary Wess-Zumino-Novikov-Witten model from the pairing Hamiltonian»</a> <span style="font-size:85%;">(PDF)</span>. Joint Quantum Institute and Condensed Matter Theory Center, Department of Physics, University of Maryland<span class="reference-accessdate">. Consultado em 5 de novembro de 2013</span></cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fpt.wikipedia.org%3ATeoria+WZW+bidimensional&amp;rft.au=Tigran+A.+Sedrakyan+e+Victor+Galitski&amp;rft.btitle=Boundary+Wess-Zumino-Novikov-Witten+model+from+the+pairing+Hamiltonian&amp;rft.date=2010-12-03&amp;rft.genre=unknown&amp;rft.pub=Joint+Quantum+Institute+and+Condensed+Matter+Theory+Center%2C+Department+of+Physics%2C+University+of+Maryland&amp;rft_id=http%3A%2F%2Fterpconnect.umd.edu%2F~galitski%2Fpubs%2Fpub42.pdf&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span></span> </li> </ol></div></div> <table class="noprint" style="border-top:none; border-bottom:none; background:transparent; color: inherit"><tbody><tr> <td style="text-align: center;"><span typeof="mw:File"><a href="/wiki/Ficheiro:U%2B269B.svg" class="mw-file-description"><img alt="Ícone de esboço" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/U%2B269B.svg/35px-U%2B269B.svg.png" decoding="async" width="35" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/U%2B269B.svg/53px-U%2B269B.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a2/U%2B269B.svg/70px-U%2B269B.svg.png 2x" data-file-width="180" data-file-height="180" /></a></span></td> <td><i>Este artigo sobre <a href="/wiki/F%C3%ADsica" title="Física">física</a> é um <a href="/wiki/Wikip%C3%A9dia:Esbo%C3%A7o" title="Wikipédia:Esboço">esboço</a>. 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