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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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2020)008 |
| Summary: | 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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| ISSN: | 1029-8479 |