Localization of twisted N=(0,2) gauged linear sigma models in two dimensions

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dc.contributor.authorClosset, Cyrilen
dc.contributor.authorGu, Weien
dc.contributor.authorJia, Beien
dc.contributor.authorSharpe, Eric R.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-05T17:14:40Zen
dc.date.available2019-03-05T17:14:40Zen
dc.date.issued2016-03-14en
dc.description.abstractWe study two-dimensional N=(0, 2) supersymmetric gauged linear sigma models (GLSMs) using supersymmetric localization. We consider N=(0, 2) theories with an R-symmetry, which can always be defined on curved space by a pseudo-topological twist while preserving one of the two supercharges of flat space. For GLSMs which are deformations of N=(0, 2) GILSMs and retain a Coulomb branch, we consider the A/2-twist and compute the genus-zero correlation functions of certain pseudo-chiral operators, which generalize the simplest twisted chiral ring operators away from the N=(0, 2) locus. These correlation functions can be written in terms of a certain residue operation on the Coulomb branch, generalizing the Jeffrey-Kirwan residue prescription relevant for the N=(0, 2) locus. For abelian GLSMs, we reproduce existing results with new formulas that render the quantum sheaf cohomology relations and other properties manifest. For non-abelian GLSMs, our methods lead to new results. As an example, we briefly discuss the quantum sheaf cohomology of the C rassmannian manifold.en
dc.description.notesWe would like to thank L. Anderson, F. Benini, S. Cremonesi, Y. Deng, Z. Komargodski, Z. Lu and I. Melnikov for useful discussions. We thank in particular D. Park for many useful discussions and for collaboration at the beginning of this project. We would also like to thank L. Anderson for giving us permission to include here the results of appendix D, which were originally worked out for [581. B. Jia was partially supported by NSF grant PHY-1316033. E. Sharpe was partially supported by NSF grant PHY-1417410.en
dc.description.sponsorshipNSF [PHY-1316033, PHY-1417410]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP03(2016)070en
dc.identifier.issn1029-8479en
dc.identifier.issue3en
dc.identifier.other70en
dc.identifier.urihttp://hdl.handle.net/10919/88075en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectField Theories in Lower Dimensionsen
dc.subjectSupersymmetric gauge theoryen
dc.subjectTopological Field Theoriesen
dc.titleLocalization of twisted N=(0,2) gauged linear sigma models in two dimensionsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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