Quantum integrability from non-simply laced quiver gauge theory

Quantum integrability from non-simply laced quiver gauge theory

Abstract We consider the compactifcation of 5d non-simply laced fractional quiver gauge theory constructed in [1]. In contrast to the simply laced quivers, here two Ω-background parameters play different roles, so that we can take two possible Nekrasov-Shatashvili limits. We demonstrate how differen...

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Main Authors: Heng-Yu Chen, Taro Kimura
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of High Energy Physics
Subjects:
Bethe Ansatz
Supersymmetric Gauge Theory
Duality in Gauge Field Theories
Integrable Field Theories
Online Access:http://link.springer.com/article/10.1007/JHEP06(2018)165
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spelling doaj-016227a16c6541fd9ecf28cf75b5f6fa2020-11-24T22:10:51ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018613110.1007/JHEP06(2018)165Quantum integrability from non-simply laced quiver gauge theoryHeng-Yu Chen0Taro Kimura1Department of Physics and Center for Theoretical Sciences, National Taiwan UniversityDepartment of Physics, Keio UniversityAbstract We consider the compactifcation of 5d non-simply laced fractional quiver gauge theory constructed in [1]. In contrast to the simply laced quivers, here two Ω-background parameters play different roles, so that we can take two possible Nekrasov-Shatashvili limits. We demonstrate how different quantum integrable systems can emerge from these two limits, using BC 2-quiver as the simplest illustrative example for our general results. We also comment possible connections with compactified 3d non-simply laced quiver gauge theory.http://link.springer.com/article/10.1007/JHEP06(2018)165Bethe AnsatzSupersymmetric Gauge TheoryDuality in Gauge Field TheoriesIntegrable Field Theories
collection DOAJ
language English
format Article
sources DOAJ
author Heng-Yu Chen
Taro Kimura
spellingShingle Heng-Yu Chen
Taro Kimura
Quantum integrability from non-simply laced quiver gauge theory
Journal of High Energy Physics
Bethe Ansatz
Supersymmetric Gauge Theory
Duality in Gauge Field Theories
Integrable Field Theories
author_facet Heng-Yu Chen
Taro Kimura
author_sort Heng-Yu Chen
title Quantum integrability from non-simply laced quiver gauge theory
title_short Quantum integrability from non-simply laced quiver gauge theory
title_full Quantum integrability from non-simply laced quiver gauge theory
title_fullStr Quantum integrability from non-simply laced quiver gauge theory
title_full_unstemmed Quantum integrability from non-simply laced quiver gauge theory
title_sort quantum integrability from non-simply laced quiver gauge theory
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-06-01
description Abstract We consider the compactifcation of 5d non-simply laced fractional quiver gauge theory constructed in [1]. In contrast to the simply laced quivers, here two Ω-background parameters play different roles, so that we can take two possible Nekrasov-Shatashvili limits. We demonstrate how different quantum integrable systems can emerge from these two limits, using BC 2-quiver as the simplest illustrative example for our general results. We also comment possible connections with compactified 3d non-simply laced quiver gauge theory.
topic Bethe Ansatz
Supersymmetric Gauge Theory
Duality in Gauge Field Theories
Integrable Field Theories
url http://link.springer.com/article/10.1007/JHEP06(2018)165
work_keys_str_mv AT hengyuchen quantumintegrabilityfromnonsimplylacedquivergaugetheory
AT tarokimura quantumintegrabilityfromnonsimplylacedquivergaugetheory
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