Quantum sheaf cohomology on Grassmannians

• Verfasst von: Guo, Jirui [VerfasserIn]
• Verfasst von: Lu, Zhentao [VerfasserIn]
• Verfasst von: Sharpe, Eric [VerfasserIn]
• Titel: Quantum sheaf cohomology on Grassmannians
• Verf.angabe: Jirui Guo, Zhentao Lu, Eric Sharpe
• Umfang: 50 S.
• Fussnoten: Published online: 19 October 2016 ; Gesehen am 20.03.2018
• Titel Quelle: Enthalten in: Communications in mathematical physics
• Jahr Quelle: 2017
• Band/Heft Quelle: 352(2017), 1, S. 135-184
• ISSN Quelle: 1432-0916
• DOI: doi:10.1007/s00220-016-2763-z
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1571232893

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.