Duality of orbifoldized elliptic genera

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.)

talk: Kyoto 1994/02/14
field theory: conformal
dimension: 2
supersymmetry: superfield
Landau-Ginzburg model
field theory: orbifold
topology
geometry: algebra

References(21)

Figures(0)

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