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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
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URI: https://cronfa.swan.ac.uk/Record/cronfa71979
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spelling 2026-06-08T14:46:46.3742814 v2 71979 2026-05-22 Moduli space of N = 4 super Yang-Mills from AdS/CFT c0d6540c37ad4b0a5934d3978048fb2a 0000-0002-1958-9551 Carlos Nunez Carlos Nunez true false 2026-05-22 BGPS 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. Journal Article Journal of High Energy Physics 2026 5 251 Springer Nature 1029-8479 AdS-CFT Correspondence; Gauge-Gravity Correspondence 21 5 2026 2026-05-21 10.1007/jhep05(2026)251 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required 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. ST/Y509644-1, ST/X000648/1 and ST/T000813/1 2026-06-08T14:46:46.3742814 2026-05-22T14:29:10.7687060 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Andrés Anabalón 0000-0002-2551-1937 1 Horatiu Nastase 0000-0002-9383-6047 2 Carlos Nunez 0000-0002-1958-9551 3 Marcelo Oyarzo 0009-0003-4370-0568 4 Ricardo Stuardo 0000-0003-2837-7259 5 71979__36845__0f5a7c2ea3e741698d33d5af16d2e8dd.pdf 71979.VOR.pdf 2026-06-02T15:19:20.1787304 Output 433220 application/pdf Version of Record true © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY4.0). true eng https://creativecommons.org/licenses/by/4.0/
title Moduli space of N = 4 super Yang-Mills from AdS/CFT
spellingShingle Moduli space of N = 4 super Yang-Mills from AdS/CFT
Carlos Nunez
title_short Moduli space of N = 4 super Yang-Mills from AdS/CFT
title_full Moduli space of N = 4 super Yang-Mills from AdS/CFT
title_fullStr Moduli space of N = 4 super Yang-Mills from AdS/CFT
title_full_unstemmed Moduli space of N = 4 super Yang-Mills from AdS/CFT
title_sort Moduli space of N = 4 super Yang-Mills from AdS/CFT
author_id_str_mv c0d6540c37ad4b0a5934d3978048fb2a
author_id_fullname_str_mv c0d6540c37ad4b0a5934d3978048fb2a_***_Carlos Nunez
author Carlos Nunez
author2 Andrés Anabalón
Horatiu Nastase
Carlos Nunez
Marcelo Oyarzo
Ricardo Stuardo
format Journal article
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container_volume 2026
container_issue 5
container_start_page 251
publishDate 2026
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep05(2026)251
publisher Springer Nature
college_str Faculty of Science and Engineering
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hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description 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.
published_date 2026-05-21T14:21:23Z
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