Quantum sheaf cohomology on Grassmannians
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 comput...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
May 2017
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| In: |
Communications in mathematical physics
Year: 2017, Volume: 352, Issue: 1, Pages: 135-184 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-016-2763-z |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/s00220-016-2763-z Verlag, Volltext: https://link.springer.com/article/10.1007/s00220-016-2763-z 
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| Author Notes: | Jirui Guo, Zhentao Lu, Eric Sharpe |
| Summary: | 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. |
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| Item Description: | Published online: 19 October 2016 Gesehen am 20.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-016-2763-z |