Elliptic Genera and the Landau-Ginzburg Approach to N=2 Orbifolds

Abstract

We compute the elliptic genera of orbifolds associated with $N=2$ super--conformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of the macroscopic Landau-Ginzburg orbifolds with those of the corresponding microscopic $N=2$ orbifolds further supports the conjectured identification of these theories. For $SU(N)$ Kazama-Suzuki models the orbifolds are associated with certain $\IZ_p$ subgroups of the various coset factors. Based on our approach we also conjecture the existence of "$E$-type" variants of these theories, their elliptic genera and the corresponding Landau-Ginzburg potentials.

27p, uses harvmac (b). negligible change: suppression of the draftmode

References in corpus (1)

• Graph Rings and Integrable Perturbations of $N=2$ Superconformal Theories

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• Elliptic genus of phases of N=2 theories
• Elliptic Genera of N=2 Hermitian Symmetric Space Models
• Supersymmetric zeta functions and determinants