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class="redtblebot"> <tbody> <tr> <td width="11%" align="center" nowrap="nowrap" class="biblinks"> <img src="/web/20150326200509im_/http://www.ams.org/images/ver_arrow.gif" hspace="3" border="0"/> <a href="/web/20150326200509/http://www.ams.org/bookstore/pspdf/fim-24-pref.pdf">Preface</a></td> <td width="14%" align="center" nowrap="nowrap" class="biblinks"> <img src="/web/20150326200509im_/http://www.ams.org/images/ver_arrow.gif" hspace="3" border="0"/> <a href="/web/20150326200509/http://www.ams.org/bookstore/pspdf/fim-24-prev.pdf">Preview Material</a></td> <td width="15%" align="center" nowrap="nowrap" class="biblinks"> <img src="/web/20150326200509im_/http://www.ams.org/images/ver_arrow.gif" hspace="3" border="0"/> <a href="/web/20150326200509/http://www.ams.org/bookstore/pspdf/fim-24-toc.pdf">Table of Contents</a></td> <td width="17%" align="center" nowrap="nowrap" class="biblinks"> <img src="/web/20150326200509im_/http://www.ams.org/images/ver_arrow.gif" hspace="3" border="0"/> <a href="/web/20150326200509/http://www.ams.org/bookpages/fim-24">Supplementary Material</a></td> <td width="14%" align="center" nowrap="nowrap" class="biblinks">  </td> <td width="13%" align="center" nowrap="nowrap" class="biblinks">  </td> <td width="16%" align="center" nowrap="nowrap" class="biblinks">  </td> </tr> </tbody> </table>  <table class="tableredbot" border="0" width="100%"> <tr>  <td width="250" valign="top"> <img class="abcover" src="/web/20150326200509im_/http://www.ams.org/images/bookstore/fim-24-sm.gif" width="72" height="103" alt="cover"/> <div class="googlesearchbox"><table summary="Google Book Search Cobrand Html Code"><tr><td style="background: rgb(255, 255, 255)"><form method="get" action="https://web.archive.org/web/20150326200509/http://books.google.com/books/p/ams" name="books_search"><font class="redtext">SEARCH THIS BOOK</font>:<br/><input name="q" id="b_horizontal_searchbox" onclick="this.className='googleinputnull';" size="25" maxlength="255" value="" type="text" class="googleinput"/><input name="btnG" value="Search" class="googlesearchbut" type="submit"/><br><input name="hl" value="en_US" type="hidden"/><input name="vid" value="ISBN9780821840887" type="hidden"/><input name="ie" value="UTF-8" type="hidden"/><input name="oe" value="UTF-8" type="hidden"/></form></td></tr></table></div> <div class="bibinfo"> <strong>Fields Institute Monographs</strong><br/> 2008; 168 pp; hardcover<br/> Volume: 24<br/> ISBN-10: 0-8218-4088-6<br/> ISBN-13: 978-0-8218-4088-7<br/> <font class="listprice">List Price: US$65</font><br/> Member Price: <font class="redtext">US$52</font><br/> Order Code: FIM/24<br/> <a href="/web/20150326200509/http://www.ams.org/cgi-bin/bookstore/ebusiness.pl?addItem=1&productCode=FIM%2F24" onclick="addToCart('FIM%2F24');return false;"> <img src="/web/20150326200509im_/http://www.ams.org/images/addtocart.gif" alt="[Add Item]" vspace="5" hspace="20" border="0" align="right"></a> <p><a href="https://web.archive.org/web/20150326200509/https://s100.copyright.com/AppDispatchServlet?publisherName=ams&publication=book&title=Conformal%20Field%20Theory%20with%20Gauge%20Symmetry&publicationDate=2008&author=Kenji%20Ueno&contentid=978-0-8218-4088-7&orderBeanReset=true" target="_blank"><img src="/web/20150326200509im_/http://www.ams.org/images/request-permissions.gif" alt="Request Permissions"></a> </div>   <div class="rectitle"> <a class="biblinks" href="https://web.archive.org/web/20150326200509/mailto:%20ENTER_COLLEAGUE_EMAIL?subject=Conformal Field Theory with Gauge Symmetry&body=An American Mathematical Society title has been recommended to you. For more information see the following URL: http://www.ams.org/bookstore-getitem?item=FIM-24">Suggest to a Colleague<img src="/web/20150326200509im_/http://www.ams.org/images/bookstore/mail-sm.gif" width="35" height="26" hspace="3" border="0" align="middle"></a> </div>   <div class="seealso"> <b>See also:</b><br/><br/> <a href="/web/20150326200509/http://www.ams.org/bookstore-getitem/item=SURV-114-S"><b>Conformally Invariant Processes in the Plane</b></a> - Gregory F Lawler<br><br> <a href="/web/20150326200509/http://www.ams.org/bookstore-getitem/item=CHEL-350-H"><b>Solvable Models in Quantum Mechanics: Second Edition</b></a> - S Albeverio, F Gesztesy, R Hoegh-Krohn, H Holden and an appendix by P Exner<br><br> <a href="/web/20150326200509/http://www.ams.org/bookstore-getitem/item=MMONO-218"><b>Algebraic Geometry 3: Further Study of Schemes</b></a> - Kenji Ueno<br><br> </div>  </td>  <td class="desctable" valign="top" width="80%"> <p class="firstletter">This book presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. After presenting the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras in Chapters 1 and 2, conformal blocks for pointed Riemann surfaces with coordinates are constructed in Chapter 3. In Chapter 4 the sheaf of conformal blocks associated to a family of pointed Riemann surfaces with coordinates is constructed, and in Chapter 5 it is shown that this sheaf supports a projective flat connection--one of the most important facts of conformal field theory. Chapter 6 is devoted to the study of the detailed structure of the conformal field theory over $\mathbb{P}^1$.</p> <p>Recently it was shown that modular functors can be constructed from conformal field theory, giving an interesting relationship between algebraic geometry and topological quantum field theory. This book provides a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and includes all the necessary techniques and results that are used to construct the modular functor.</p> <p>Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).</p>   <p class="orangehead"><img src="/web/20150326200509im_/http://www.ams.org/images/ver_arrow.gif" hspace="3" border="0">Readership</p> <p>Graduate students and research mathematicians interested in algebraic/arithmetic geometry, theoretical physics (high energy) string theory.</p>  <a href="https://web.archive.org/web/20150326200509/http://www.mathjax.org/"><img align="right" title="Powered by MathJax" src="/web/20150326200509im_/http://www.ams.org/images/mathjax-badge.gif" border="0" alt="Powered by MathJax"></a> </td> </tr> </table>   <table border="0" cellpadding="2" cellspacing="0" width="100%" class="journalsFooter" summary="This is a footer table containing contact information, privacy and copyright statements"> <tr> <td colspan="4"> <hr noshade="noshade" size="1" class="journalsnoshow"/> </td> </tr> <tr> <td width="30%" align="right"> </td> <td width="40%" align="center"> <a href="https://web.archive.org/web/20150326200509/http://www.ams.org/"><font size="2">AMS Home</font></a> | <font size="2"> Comments: <a href="https://web.archive.org/web/20150326200509/mailto:webmaster@ams.org" class="footer">webmaster@ams.org</a><br/>  <a href="/web/20150326200509/http://www.ams.org/ams/copyright.html" class="footer">© Copyright 2014, American Mathematical Society  <br/>  </a> <a href="/web/20150326200509/http://www.ams.org/ams/privacy.html" class="footer">Privacy Statement</a></font> </td> <td width="30%" align="right"></td> </tr> </table>  <style> .chicklets { margin-left: 2px; margin-right: 2px; border-style: none; } </style> <p align="center"><img src="https://web.archive.org/web/20150326200509im_/http://www.ams.org/images/ams-chiclets-white-bkgrnd-nt.gif" alt="AMS Social" width="390" height="52" border="0" usemap="#socialIconsWhite"/></p> <map name="socialIconsWhite" id="socialIconsWhite"> <area shape="rect" coords="4,3,40,49" href="/web/20150326200509/http://www.ams.org/about-us/social" alt="AMS and Social Media" title="AMS and Social Media"/> <area shape="rect" coords="44,-2,83,46" href="https://web.archive.org/web/20150326200509/http://www.linkedin.com/companies/american-mathematical-society?trk=fc_badge" target="_blank" alt="LinkedIn" title="LinkedIn"/> <area shape="rect" coords="88,-1,128,46" href="https://web.archive.org/web/20150326200509/http://www.facebook.com/pages/American-Mathematical-Society/216331555216" target="_blank" alt="Facebook" title="Facebook"/> <area shape="rect" coords="131,2,172,47" href="https://web.archive.org/web/20150326200509/http://itunes.apple.com/us/podcast/mathematical-moments-from/id269308392" target="_blank" alt="Podcasts" title="Podcasts"/> <area shape="rect" coords="175,3,213,46" href="https://web.archive.org/web/20150326200509/http://www.twitter.com/amermathsoc" target="_blank" alt="Twitter" title="Twitter"/> <area shape="rect" coords="218,-3,258,47" href="https://web.archive.org/web/20150326200509/http://www.youtube.com/amermathsoc" target="_blank" alt="YouTube" title="YouTube"/> <area shape="rect" coords="261,2,303,47" href="https://web.archive.org/web/20150326200509/http://www.ams.org/about-us/rss" target="_blank" alt="RSS Feeds" title="RSS Feeds"/> <area shape="rect" coords="305,-1,343,48" href="https://web.archive.org/web/20150326200509/http://www.ams.org/about-us/blogs" target="_blank" alt="Blogs" title="Blogs"/> <area shape="rect" coords="346,2,387,42" href="https://web.archive.org/web/20150326200509/http://www.wikipedia.org/wiki/American_Mathematical_Society" target="_blank" alt="Wikipedia" title="Wikipedia"/> </map> </body> </html>