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Moduli space of N = 4 super Yang-Mills from AdS/CFT

Andrés Anabalón Orcid Logo, Horatiu Nastase Orcid Logo, Carlos Nunez Orcid Logo, Marcelo Oyarzo Orcid Logo, Ricardo Stuardo Orcid Logo

Journal of High Energy Physics, Volume: 2026, Issue: 5, Start page: 251

Swansea University Author: Carlos Nunez Orcid Logo

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Abstract

We study N = 4 super Yang-Mills theory compactified on an S1 at zero temperature, with VEVs for two scalar bilinears and three independent current sources. We show that type IIB supergravity provides a complete holographic description of this setup, admitting both supersymmetric and non-supersymmetr...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Nature 2026
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa71979
Abstract: We study N = 4 super Yang-Mills theory compactified on an S1 at zero temperature, with VEVs for two scalar bilinears and three independent current sources. We show that type IIB supergravity provides a complete holographic description of this setup, admitting both supersymmetric and non-supersymmetric AdS-soliton solutions that are asymptotically AdS5 and smooth in the IR. The current sources correspond in 2+1 dimensions to Q-ball charge densities for U(1)3 ⊂ SO(6)R, and are geometrically realized as twists along three angular directions of the S5. We demonstrate that the bulk dynamics encodes the full vacuum structure of the dual field theory and explicitly reconstruct the supersymmetric moduli space.
Keywords: AdS-CFT Correspondence; Gauge-Gravity Correspondence
College: Faculty of Science and Engineering
Funders: The work of HN is supported in part by CNPq grant 304583/2023-5 and FAPESP grant 2019/21281-4. HN would also like to thank the ICTP-SAIFR for their support through FAPESP grant 2021/14335-0, and to CEA-Saclay for their hospitality during a part of this project. C. N. is supported by STFC’s grants ST/Y509644-1, ST/X000648/1 and ST/T000813/1. The work of AA is supported in part by the FONDECYT grants 1230853, 1242043, 1250133, 1262452 and 1262414 and by the FAPESP grant 2024/16864-9. The work of R.S. is supported by the Ramón y Cajal fellowship RYC2021-033794-I. R.S. also acknowledges support from grants from the Spanish government MCIU-22-PID2021-123021NB-I00, MCIU-25-PID2024-161500NB-I00 and principality of Asturias SV-PA-21-AYUD/2021/52177. R.S. thanks KU Leuven for the kind hospitality while some parts of this work were being completed. This work was supported by a short term scientific mission grant from the COST action CA22113 THEORY-CHALLENGES. MO is supported by AEI-Spain PID2023-152148NB-I00 and by Maria de Maeztu excellence unit grant CEX2023-001318-M, by Xunta de Galicia (CIGUS Network of Research Centres and project ED431F-2023/19), and by the European Union FEDER.
Issue: 5
Start Page: 251