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Twisted-circle compactifications of SQCD-like theories and holography

Niall T. Macpherson Orcid Logo, Paul Merrikin, Carlos Nunez Orcid Logo, Ricardo Stuardo Orcid Logo

Journal of High Energy Physics, Volume: 2025, Issue: 8

Swansea University Authors: Paul Merrikin, Carlos Nunez Orcid Logo

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DOI (Published version): 10.1007/jhep08(2025)146

Abstract

We construct and analyse holographic duals to a class of four-dimensional = 1 SU(Nc) SQCD-like theories compactified on a circle with an R-symmetry twist. The setup originates from type IIB backgrounds previously proposed as duals to SQCD with Nf fundamental flavours. The U(1) R-symmetry is anomaly-...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa70206
Abstract: We construct and analyse holographic duals to a class of four-dimensional = 1 SU(Nc) SQCD-like theories compactified on a circle with an R-symmetry twist. The setup originates from type IIB backgrounds previously proposed as duals to SQCD with Nf fundamental flavours. The U(1) R-symmetry is anomaly-free only if Nf = 2Nc. We implement a supersymmetric twisted-circle reduction, holographically realised through a smoothly shrinking S1 fibered over the internal U(1)R direction. We obtain new regular type IIB supergravity backgrounds that are valid only if the condition Nf = 2Nc is satisfied — mirroring the anomaly cancellation requirement in the field theory. We compute various field-theoretic observables — including the Chern-Simons level, Wilson loop and the holographic central charge — showing the emergence of a 3D = 2 gapped phase consistent with a Chern-Simons TQFT. This work highlights the interplay between anomalies, supersymmetry, and geometry in the holographic realisation of compactified gauge theories with fundamental matter.
Keywords: Flux Compactifications; Gauge-Gravity Correspondence; Supersymmetric Gauge Theory
College: Faculty of Science and Engineering
Funders: The work of N. M. and R. S. is supported by the Ramón y Cajal fellowship RYC2021-033794-I, and by grants from the Spanish government MCIU-22-PID2021-123021NB-I00 and principality of Asturias SV-PA-21-AYUD/2021/52177. P. M. and C. N. are supported by the grants ST/Y509644-1, ST/X000648/1 and ST/T000813/1.
Issue: 8

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