Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories

Abstract We compute R-charges of the BPS-monopole operators in N $$ \mathcal{N} $$ = 3 ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in [1]. These theories have a weakly coupled UV completion in terms of N $$ \mathcal{N} $$ = 3 sup...

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Main Author: Moumita Patra
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP06(2020)008
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author Moumita Patra
author_facet Moumita Patra
author_sort Moumita Patra
collection DOAJ
description Abstract We compute R-charges of the BPS-monopole operators in N $$ \mathcal{N} $$ = 3 ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in [1]. These theories have a weakly coupled UV completion in terms of N $$ \mathcal{N} $$ = 3 supersymmetric Chern-Simons Yang-Mills theories. In the UV limit the monopole operators are well approximated by classical solutions. We construct classical BPS and anti-BPS monopole solutions to these theories which preserve 1 3 $$ \frac{1}{3} $$ supersymmetry all along the RG flow. We compute the SU(2) R charges in these backgrounds and show that the smallest possible value of quantised SU(2) R charge is zero in each quiver theory.
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spelling doaj.art-ad3c65af50ef45d0945b6d470f9e1be12022-12-21T21:03:29ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020616110.1007/JHEP06(2020)008Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theoriesMoumita Patra0National Institute of Science Education and Research BhubaneshwarAbstract We compute R-charges of the BPS-monopole operators in N $$ \mathcal{N} $$ = 3 ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in [1]. These theories have a weakly coupled UV completion in terms of N $$ \mathcal{N} $$ = 3 supersymmetric Chern-Simons Yang-Mills theories. In the UV limit the monopole operators are well approximated by classical solutions. We construct classical BPS and anti-BPS monopole solutions to these theories which preserve 1 3 $$ \frac{1}{3} $$ supersymmetry all along the RG flow. We compute the SU(2) R charges in these backgrounds and show that the smallest possible value of quantised SU(2) R charge is zero in each quiver theory.http://link.springer.com/article/10.1007/JHEP06(2020)008Solitons Monopoles and InstantonsAdS-CFT CorrespondenceChern-Simons TheoriesM-Theory
spellingShingle Moumita Patra
Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories
Journal of High Energy Physics
Solitons Monopoles and Instantons
AdS-CFT Correspondence
Chern-Simons Theories
M-Theory
title Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories
title_full Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories
title_fullStr Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories
title_full_unstemmed Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories
title_short Charges of monopole operators in ADE ̂ $$ \hat{ADE} $$ Chern-Simons quiver gauge theories
title_sort charges of monopole operators in ade ̂ hat ade chern simons quiver gauge theories
topic Solitons Monopoles and Instantons
AdS-CFT Correspondence
Chern-Simons Theories
M-Theory
url http://link.springer.com/article/10.1007/JHEP06(2020)008
work_keys_str_mv AT moumitapatra chargesofmonopoleoperatorsinadehatadechernsimonsquivergaugetheories