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Quantum sheaf cohomology on Grassmannians
- Source :
- Comm. Math. Phys. 352 (2017) 135-184
- Publication Year :
- 2015
-
Abstract
- In this paper we study the quantum sheaf cohomology of Grassmannians with deformations of the tangent bundle. Quantum sheaf cohomology is a (0,2) deformation of the ordinary quantum cohomology ring, realized as the OPE ring in A/2-twisted theories. Quantum sheaf cohomology has previously been computed for abelian gauged linear sigma models (GLSMs); here, we study (0,2) deformations of nonabelian GLSMs, for which previous methods have been intractable. Combined with the classical result, the quantum ring structure is derived from the one-loop effective potential. We also utilize recent advances in supersymmetric localization to compute A/2 correlation functions and check the general result in examples. In this paper we focus on physics derivations and examples; in a companion paper, we will provide a mathematically rigorous derivation of the classical sheaf cohomology ring.<br />Comment: 60 pages, LaTeX; v2:identifier added to reference; v3:typos fixed
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Comm. Math. Phys. 352 (2017) 135-184
- Publication Type :
- Report
- Accession number :
- edsarx.1512.08586
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00220-016-2763-z