Surface operators, dual quivers and contours
Abstract We study half-BPS surface operators in four dimensional $${{{\mathcal {N}}}}=2$$ N=2 SU(N) gauge theories, and analyze their low-energy effective action on the four dimensional Coulomb branch using equivariant localization. We also study surface operators as coupled 2d/4d quiver gauge theor...
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Series: | European Physical Journal C: Particles and Fields |
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doaj-463f89b88bc34fba8b81758fd024aec02020-11-25T01:28:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-03-0179312410.1140/epjc/s10052-019-6795-3Surface operators, dual quivers and contoursS. K. Ashok0S. Ballav1M. Billò2E. Dell’Aquila3M. Frau4V. Gupta5R. R. John6A. Lerda7Institute of Mathematical Sciences, Homi Bhabha National Institute (HBNI)Institute of Mathematical Sciences, Homi Bhabha National Institute (HBNI)Dipartimento di Fisica, Università di TorinoDipartimento di Fisica, Università di TorinoDipartimento di Fisica, Università di TorinoInstitute of Mathematical Sciences, Homi Bhabha National Institute (HBNI)Dipartimento di Fisica, Università di TorinoDipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte OrientaleAbstract We study half-BPS surface operators in four dimensional $${{{\mathcal {N}}}}=2$$ N=2 SU(N) gauge theories, and analyze their low-energy effective action on the four dimensional Coulomb branch using equivariant localization. We also study surface operators as coupled 2d/4d quiver gauge theories with an SU(N) flavour symmetry. In this description, the same surface operator can be described by different quivers that are related to each other by two dimensional Seiberg duality. We argue that these dual quivers correspond, on the localization side, to distinct integration contours that can be determined by the Fayet-Iliopoulos parameters of the two dimensional gauge nodes. We verify the proposal by mapping the solutions of the twisted chiral ring equations of the 2d/4d quivers onto individual residues of the localization integrand.http://link.springer.com/article/10.1140/epjc/s10052-019-6795-3 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
S. K. Ashok S. Ballav M. Billò E. Dell’Aquila M. Frau V. Gupta R. R. John A. Lerda |
spellingShingle |
S. K. Ashok S. Ballav M. Billò E. Dell’Aquila M. Frau V. Gupta R. R. John A. Lerda Surface operators, dual quivers and contours European Physical Journal C: Particles and Fields |
author_facet |
S. K. Ashok S. Ballav M. Billò E. Dell’Aquila M. Frau V. Gupta R. R. John A. Lerda |
author_sort |
S. K. Ashok |
title |
Surface operators, dual quivers and contours |
title_short |
Surface operators, dual quivers and contours |
title_full |
Surface operators, dual quivers and contours |
title_fullStr |
Surface operators, dual quivers and contours |
title_full_unstemmed |
Surface operators, dual quivers and contours |
title_sort |
surface operators, dual quivers and contours |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2019-03-01 |
description |
Abstract We study half-BPS surface operators in four dimensional $${{{\mathcal {N}}}}=2$$ N=2 SU(N) gauge theories, and analyze their low-energy effective action on the four dimensional Coulomb branch using equivariant localization. We also study surface operators as coupled 2d/4d quiver gauge theories with an SU(N) flavour symmetry. In this description, the same surface operator can be described by different quivers that are related to each other by two dimensional Seiberg duality. We argue that these dual quivers correspond, on the localization side, to distinct integration contours that can be determined by the Fayet-Iliopoulos parameters of the two dimensional gauge nodes. We verify the proposal by mapping the solutions of the twisted chiral ring equations of the 2d/4d quivers onto individual residues of the localization integrand. |
url |
http://link.springer.com/article/10.1140/epjc/s10052-019-6795-3 |
work_keys_str_mv |
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