Supermanifolds, Rigid Manifolds and Mirror Symmetry

Details Supermanifolds, Rigid Manifolds and Mirror Symmetry Supermanifolds, Rigid Manifolds and Mirror Symmetry

1994-04-29

arxiv.org/abs/hep-th/9404186v1

Nucl.Phys. B430 (1994) 31-50

Physics

High Energy Physics

High Energy Physics - Theory

harvmac 24 pages, HUTP-94/A002

Scientific paper

10.1016/0550-3213(94)90649-1

By providing a general correspondence between Landau-Ginzburg orbifolds and non-linear sigma models, we find that the elusive mirror of a rigid manifold is actually a supermanifold. We also discuss when sigma models with super-target spaces are conformally invariant and describe their chiral rings. Both supermanifolds with and without Kahler moduli are considered. This work leads us to conclude that mirror symmetry should be viewed as a relation among super-varieties rather than bosonic varieties.

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