Wilson loops for 5d and 3d conformal linear quivers

Within the electrostatic formulation of holographic duals to (balanced) conformal quivers in five and three dimensions, we study the expressions for Wilson loops in antisymmetric representations. We derive general expressions for various quantities participating in the formalism (VEV of Wilson loops...

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Main Authors: Ali Fatemiabhari, Carlos Nunez
Format: Article
Language:English
Published: Elsevier 2023-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321323000548
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author Ali Fatemiabhari
Carlos Nunez
author_facet Ali Fatemiabhari
Carlos Nunez
author_sort Ali Fatemiabhari
collection DOAJ
description Within the electrostatic formulation of holographic duals to (balanced) conformal quivers in five and three dimensions, we study the expressions for Wilson loops in antisymmetric representations. We derive general expressions for various quantities participating in the formalism (VEV of Wilson loops, representation, gauge-node) and apply these to examples, connecting some results present in the bibliography. In the case of three dimensional quivers, we present a relation between Wilson loops in an ‘electric’ and in the ‘magnetic/mirror’ descriptions. In a very detailed appendix, we relate the electrostatic and holomorphic description of the holographic duals to these SCFTS.
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spelling doaj.art-c6a52b12ac2a4945ab1361035141113d2023-03-29T09:21:04ZengElsevierNuclear Physics B0550-32132023-04-01989116125Wilson loops for 5d and 3d conformal linear quiversAli Fatemiabhari0Carlos Nunez1Department of Physics, Swansea University, Swansea SA2 8PP, United KingdomCorresponding author.; Department of Physics, Swansea University, Swansea SA2 8PP, United KingdomWithin the electrostatic formulation of holographic duals to (balanced) conformal quivers in five and three dimensions, we study the expressions for Wilson loops in antisymmetric representations. We derive general expressions for various quantities participating in the formalism (VEV of Wilson loops, representation, gauge-node) and apply these to examples, connecting some results present in the bibliography. In the case of three dimensional quivers, we present a relation between Wilson loops in an ‘electric’ and in the ‘magnetic/mirror’ descriptions. In a very detailed appendix, we relate the electrostatic and holomorphic description of the holographic duals to these SCFTS.http://www.sciencedirect.com/science/article/pii/S0550321323000548
spellingShingle Ali Fatemiabhari
Carlos Nunez
Wilson loops for 5d and 3d conformal linear quivers
Nuclear Physics B
title Wilson loops for 5d and 3d conformal linear quivers
title_full Wilson loops for 5d and 3d conformal linear quivers
title_fullStr Wilson loops for 5d and 3d conformal linear quivers
title_full_unstemmed Wilson loops for 5d and 3d conformal linear quivers
title_short Wilson loops for 5d and 3d conformal linear quivers
title_sort wilson loops for 5d and 3d conformal linear quivers
url http://www.sciencedirect.com/science/article/pii/S0550321323000548
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AT carlosnunez wilsonloopsfor5dand3dconformallinearquivers