GLSM realizations of maps and intersections of Grassmannians and Pfaffians

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dc.contributor.authorCăldăraru, Andreien
dc.contributor.authorKnapp, Johannaen
dc.contributor.authorSharpe, Eric R.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-02-27T14:06:36Zen
dc.date.available2019-02-27T14:06:36Zen
dc.date.issued2018-04-23en
dc.description.abstractIn this paper we give gauged linear sigma model (GLSM) realizations of a number of geometries not previously presented in GLSMs. We begin by describing GLSM realizations of maps including Veronese and Segre embeddings, which can be applied to give GLSMs explicitly describing non-complete intersection constructions such as the intersection of one hypersurface with the image under some map of another. We also discuss GLSMs for intersections of Grassmannians and Pfaffians with one another, and with their images under various maps, which sometimes form exotic constructions of Calabi-Yaus, as well as GLSMs for other exotic Calabi-Yau constructions of Kanazawa. Much of this paper focuses on a specific set of examples of GLSMs for intersections of Grassmannians G(2, N) with themselves after a linear rotation, including the Calabi-Yau case N = 5. One phase of the GLSM realizes an intersection of two Grassmannians, the other phase realizes an intersection of two Pfaffians. The GLSM has two nonabelian factors in its gauge group, and we consider dualities in those factors. In both the original GLSM and a double-dual, one geometric phase is realized perturbatively (as the critical locus of a superpotential), and the other via quantum effects. Dualizing on a single gauge group factor yields a model in which each geometry is realized through a simultaneous combination of perturbative and quantum effects.en
dc.description.notesWe would like to thank S. Galkin, S. Katz, I. Melnikov, D. Morrison, T. Pantev, J. Rennemo, M. Romo, S. Sam, E. Scheidegger and E. Segal for useful conversations. E. S. was partially supported by NSF grants PHY-1417410 and PHY-1720321.en
dc.description.sponsorshipNSF [PHY-1417410, PHY-1720321]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP04(2018)119en
dc.identifier.issn1029-8479en
dc.identifier.issue4en
dc.identifier.other119en
dc.identifier.urihttp://hdl.handle.net/10919/87864en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectDifferential and Algebraic Geometryen
dc.subjectField Theories in Lower Dimensionsen
dc.subjectSupersymmetric Gauge Theoryen
dc.titleGLSM realizations of maps and intersections of Grassmannians and Pfaffiansen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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