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Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers

Mohammad Akhond, Andrea Legramandi, Carlos Nunez Orcid Logo

Journal of High Energy Physics, Volume: 2021, Issue: 11

Swansea University Authors: Mohammad Akhond, Andrea Legramandi, Carlos Nunez Orcid Logo

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Abstract

We present the holographic dual for the strongly coupled, low energy dynamics of balanced N = 4 field theories in (2 + 1) dimensions. The infinite family of Type IIB backgrounds with AdS4 × S2 × S2 factors is described in terms of a Laplace problem with suitable boundary conditions. The system descr...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa58847
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Abstract: We present the holographic dual for the strongly coupled, low energy dynamics of balanced N = 4 field theories in (2 + 1) dimensions. The infinite family of Type IIB backgrounds with AdS4 × S2 × S2 factors is described in terms of a Laplace problem with suitable boundary conditions. The system describes an array of D3, NS5 and D5 branes. We study various aspects of these Hanany-Witten set-ups (number of branes, linking numbers, dimension of the Higgs and Coulomb branches) and encode them in holographic calculations. A generic expression for the Free Energy/Holographic Central Charge is derived. These quantities are then calculated explicitly in various general examples. We also discuss how Mirror Symmetry is encoded in our Type IIB backgrounds. The connection with previous results in the bibliography is made.
Keywords: AdS-CFT Correspondence; Brane Dynamics in Gauge Theories; Duality in Gauge Field Theories
College: Faculty of Science and Engineering
Funders: STFC
Issue: 11