Duality of Orbifoldized Elliptic Genera

Abstract

We discuss duality and mirror symmetry phenomena of Landau-Ginzburg orbifolds considering their elliptic genera. Under the duality (or mirror) transform performed by orbifoldizing the Landau-Ginzburg model via some discrete group of the superpotential we observe that the roles of the untwisted and twisted sectors are exchanged. As explicit evidence detailed orbifold data are presented for $N=2$ minimal models, Arnold's exceptional singularities, $K3$ surfaces constructed from Arnold's singularities and Fermat hypersurfaces. (To appear in the proceedings of the workshop, ``Quantum Field Theory, Integrable Models and Beyond'', Yukawa Institute for Theoretical Physics, Kyoto University, 14-18 February 1994.)

27(portrait)+3(landscape) pages, LaTeX, KEK-TH-409. (one reference added)

References in corpus (4)

• (0,2) Landau-Ginzburg Theory
• Geometry of (0,2) Landau-Ginzburg Orbifolds
• Ramond Sector Characters and N=2 Landau-Ginzburg Models
• N=2 gauged WZW models and the elliptic genus

Cited by in corpus (8)

• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• Supersymmetry in Boundary Integrable Models
• Supersymmetric localization in two dimensions
• Elliptic Genera of Non-compact Gepner Models and Mirror Symmetry
• Orbifold E-functions of dual invertible polynomials
• The Refined Elliptic Genus and Coulomb Gas Formulations of $N=2$ Superconformal Coset Models
• Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic
• Lattices for Landau-Ginzburg orbifolds