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arXiv · hep-th/9306096

Elliptic Genera and N=2 Superconformal Field Theory

Toshiya Kawai·Yasuhiko Yamada·Sung-Kil Yang
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Abstract

Recently 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.

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Toshiya Kawai, Yasuhiko Yamada, Sung-Kil Yang. 1993-06-28. Elliptic Genera and N=2 Superconformal Field Theory. https://doi.org/10.1016/0550-3213(94)90428-6

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