The Mirror Map for Invertible LG Models

Details The Mirror Map for Invertible LG Models The Mirror Map for Invertible LG Models

1994-02-19

arxiv.org/abs/hep-th/9402114v1

Phys.Lett. B328 (1994) 312-318

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, CERN-TH.7165/94 and TUW-94/01

Scientific paper

10.1016/0370-2693(94)91485-0

Calculating the (a,c) ring of the maximal phase orbifold for `invertible' Landau--Ginzburg models, we show that the Berglund--H"ubsch construction works for all potentials of the relevant type. The map that sends a monomial in the original model to a twisted state in the orbifold representation of the mirror is constructed explicitly. Via this map, the OP selection rules of the chiral ring exactly correspond to the twist selection rules for the orbifold. This shows that we indeed arrive at the correct point in moduli space, and that the mirror map can be extended to arbitrary orbifolds, including non-abelian twists and discrete torsion, by modding out the appropriate quantum symmetries.

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