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1、HUTP-88/A054AppliedConformalFieldTheoryPaulGinsparg†LymanLaboratoryofPhysicsHarvardUniversityCambridge,MA02138LecturesgivenatLesHouchessummersession,June28–Aug.5,1988.ToappearinLesHouches,SessionXLIX,1988,Champs,CordesetPh´enom`enesCritiques/Fields,Stri
2、ngsandCriticalPhenomena,ed.byE.Br´ezinandJ.Zinn-Justin,cElsevierSciencePublishersB.V.(1989).9/88(withcorrections,11/88)†(ginsparg@huhepl.hepnet,ginsparg@huhepl.bitnet,orginsparg@huhepl.harvard.edu)arXiv:hep-th/9108028v111Nov1988AppliedConformalFieldTheo
3、ry7.5.CriticalIsingmodelonthetorus..............957.6.Recreationalmathematicsandϑ-functionidentities.....101LesHouchesLectures,P.Ginsparg,19888.Freebosonsonatorus....................1088.1.Partitionfunction....................108Contents8.2.Fermionizati
4、on.....................1151.Conformaltheoriesinddimensions...............38.3.Orbifoldsingeneral...................1178.4.S1/Zorbifold.....................1211.1.Conformalgroupinddimensions..............421.2.Conformalalgebrain2dimensions..............6
5、8.5.Orbifoldcomments...................1261.3.Constraintsofconformalinvarianceinddimensions......98.6.Marginaloperators...................1282.Conformaltheoriesin2dimensions................128.7.Thespaceofc=1theories................1302.1.Correlationfun
6、ctionsofprimaryfields............129.AffineKac-Moodyalgebrasandcosetconstructions.......1362.2.Radialquantizationandconservedcharges..........159.1.Affinealgebras.....................1362.3.Freeboson,theexample..................219.2.EnvelopingVirasoroalgebr
7、a...............1382.4.ConformalWardidentities.................249.3.Highestweightrepresentations..............1423.ThecentralchargeandtheVirasoroalgebra............269.4.Somefreefieldrepresentations..............1473.1.Thecentralcharge..................
8、...269.5.Cosetconstruction....................1523.2.Thefreefermion......................309.6.Modularinvariantcombinationsofcharacters........1573.3.ModeexpansionsandtheVirasoroalgebra..........309.7.TheA-D-EclassificationofSU(2)
