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A Correlator Formula for Quantum Sheaf Cohomology

2015/11/30 by Zhentao Lu, Lu, Zhentao
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #hep-th #math.AG

paper · pdf · doi:10.48550/arxiv.1511.09158

23 pages, comments welcome

arxiv created 2015/11/30 · arxiv updated 2015/12/01

Abstract

For a class of monadic deformations of the tangent bundles over nef-Fano smooth projective toric varieties, we study the correlators using quantum sheaf cohomology. We prove a summation formula for the correlators, confirming a conjecture by McOrist and Melnikov in physics literature. This generalizes the Szenes-Vergne proof of Toric Residue Mirror Conjecture for hypersurfaces.

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