Elliptic Genera and N=2 Superconformal Field Theory

dc.creatorKawai, Toshiya
dc.creatorYamada, Yasuhiko
dc.creatorYang, Sung-Kil
dc.date1993-06-21
dc.date1993-06-28
dc.date.accessioned2026-07-07T12:45:12Z
dc.date.available2026-07-07T12:45:12Z
dc.descriptionRecently Witten proposed to consider elliptic genus in $N=2$ superconformal field theory to understand the relation between $N=2$ minimal models and Landau-Ginzburg theories. In this paper we first discuss the basic properties satisfied by elliptic genera in $N=2$ theories. These properties are confirmed by some fundamental class of examples. Then we introduce a generic procedure to compute the elliptic genera of a particular class of orbifold theories, {\it i.e.\/} the ones orbifoldized by $e^{2πiJ_0}$ in the Neveu-Schwarz sector. This enables us to calculate the elliptic genera for Landau-Ginzburg orbifolds. When the Landau-Ginzburg orbifolds allow an interpretation as target manifolds with $SU(N)$ holonomy we can compare the expressions with the ones obtained by orbifoldizing tensor products of $N=2$ minimal models. We also give sigma model expressions of the elliptic genera for manifolds of $SU(N)$ holonomy.
dc.description24 pages, harvmac (citation corrected, reference added)
dc.identifierhttps://arxiv.org/abs/hep-th/9306096
dc.identifierhttp://arxiv.org/abs/hep-th/9306096
dc.identifierNucl.Phys.B414:191-212,1994
dc.identifierdoi:10.1016/0550-3213(94)90428-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221017
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleElliptic Genera and N=2 Superconformal Field Theory
dc.typetext

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