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A mirror symmetric construction of qH*_T(G/P)_(q)

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arxiv math/0511124 v2 pith:7VAPPTDE submitted 2005-11-07 math.AG

Konstanze Rietsch This is my paper · ORCID
classification math.AG
keywords constructionmirrorfamilyquantumt-equivariantvarietyalgebraicanalogue
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Let G be a simple simply connected complex algebraic group. We give a Lie theoretic construction of a conjectural mirror family associated to a general flag variety G/P, and show that it recovers the Peterson variety presentation for the T-equivariant quantum cohomology rings qH*_T(G/P)_(q) with quantum parameters inverted. For SL_n/B we relate our construction to the mirror family defined by Givental and its T-equivariant analogue due to Joe and Kim.

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Cited by 1 Pith paper

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  1. A proposal for nonabelian (0,2) mirrors

    hep-th 2019-08 conditional novelty 6.0 of 10

    For (0,2) gauge theories with linear diagonal E-terms, the paper proposes a Weyl-orbifolded Landau-Ginzburg mirror and shows it reproduces quantum sheaf cohomology rings and A/2 correlation functions.

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