(2, 2) geometry from gauge theory

Abstract Using gauge theory, we describe how to construct generalized Kähler geometries with (2, 2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds. For special cases, T-dual descriptions can be found which are squashed Kähler s...

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Main Authors: João Caldeira, Travis Maxfield, Savdeep Sethi
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2018)201
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spelling doaj-9f3cffcf920b4a6ba9137e56a557a2512020-11-25T01:32:28ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181114210.1007/JHEP11(2018)201(2, 2) geometry from gauge theoryJoão Caldeira0Travis Maxfield1Savdeep Sethi2Enrico Fermi Institute & Kadanoff Center for Theoretical Physics, University of ChicagoCenter for Geometry and Theoretical Physics, Duke UniversityEnrico Fermi Institute & Kadanoff Center for Theoretical Physics, University of ChicagoAbstract Using gauge theory, we describe how to construct generalized Kähler geometries with (2, 2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds. For special cases, T-dual descriptions can be found which are squashed Kähler spaces. We explore the vacuum structure of these gauge theories by studying the Coulomb branch, which usually encodes the quantum cohomology ring. Some models without Kähler dual descriptions possess unusual Coulomb branches. Specifically, there appear to be an infinite number of supersymmetric vacua.http://link.springer.com/article/10.1007/JHEP11(2018)201Flux compactificationsSigma ModelsSuperstrings and Heterotic StringsSuperstring Vacua
collection DOAJ
language English
format Article
sources DOAJ
author João Caldeira
Travis Maxfield
Savdeep Sethi
spellingShingle João Caldeira
Travis Maxfield
Savdeep Sethi
(2, 2) geometry from gauge theory
Journal of High Energy Physics
Flux compactifications
Sigma Models
Superstrings and Heterotic Strings
Superstring Vacua
author_facet João Caldeira
Travis Maxfield
Savdeep Sethi
author_sort João Caldeira
title (2, 2) geometry from gauge theory
title_short (2, 2) geometry from gauge theory
title_full (2, 2) geometry from gauge theory
title_fullStr (2, 2) geometry from gauge theory
title_full_unstemmed (2, 2) geometry from gauge theory
title_sort (2, 2) geometry from gauge theory
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-11-01
description Abstract Using gauge theory, we describe how to construct generalized Kähler geometries with (2, 2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds. For special cases, T-dual descriptions can be found which are squashed Kähler spaces. We explore the vacuum structure of these gauge theories by studying the Coulomb branch, which usually encodes the quantum cohomology ring. Some models without Kähler dual descriptions possess unusual Coulomb branches. Specifically, there appear to be an infinite number of supersymmetric vacua.
topic Flux compactifications
Sigma Models
Superstrings and Heterotic Strings
Superstring Vacua
url http://link.springer.com/article/10.1007/JHEP11(2018)201
work_keys_str_mv AT joaocaldeira 22geometryfromgaugetheory
AT travismaxfield 22geometryfromgaugetheory
AT savdeepsethi 22geometryfromgaugetheory
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