Spherical branes and the BMN matrix quantum mechanics
Spherical branes and the BMN matrix quantum mechanics
We study the maximally supersymmetric Yang-Mills theory on S
d using supersymmetric localisation and holography. We argue that the analytic continuation in dimension to d = 1 yields a Euclidean version of the BMN matrix quantum mechanics. This system can be analysed at large N using supersymmetric localisation and leads to explicit results for the free energy on S
d and the expectation value of supersymmetric Wilson loops. We show how these results can be reproduced at strong gauge coupling using holography by employing spherical D-brane solutions. We construct these solutions for any value of d using an effective supergravity description and pay particular attention to the subtleties arising in the d → 1 limit. Our results have implications for the BMN matrix quantum mechanics and the physics of circular D0-branes.
AdS-CFT Correspondence, D-Branes, Gauge-Gravity Correspondence, Supersymmetric Gauge Theory
Bobev, Nikolay
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Bomans, Pieter
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Gautason, Fridrik F
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29 January 2025
Bobev, Nikolay
a6de4447-994a-414a-8910-26cdeb7f54d9
Bomans, Pieter
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Gautason, Fridrik F
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Bobev, Nikolay, Bomans, Pieter and Gautason, Fridrik F
(2025)
Spherical branes and the BMN matrix quantum mechanics.
JHEP, 2025 (1), [170].
(doi:10.1007/JHEP01(2025)170).
Abstract
We study the maximally supersymmetric Yang-Mills theory on S
d using supersymmetric localisation and holography. We argue that the analytic continuation in dimension to d = 1 yields a Euclidean version of the BMN matrix quantum mechanics. This system can be analysed at large N using supersymmetric localisation and leads to explicit results for the free energy on S
d and the expectation value of supersymmetric Wilson loops. We show how these results can be reproduced at strong gauge coupling using holography by employing spherical D-brane solutions. We construct these solutions for any value of d using an effective supergravity description and pay particular attention to the subtleties arising in the d → 1 limit. Our results have implications for the BMN matrix quantum mechanics and the physics of circular D0-branes.
Text
JHEP01(2025)170
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Accepted/In Press date: 24 December 2024
Published date: 29 January 2025
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© The Author(s) 2025.
Keywords:
AdS-CFT Correspondence, D-Branes, Gauge-Gravity Correspondence, Supersymmetric Gauge Theory
Identifiers
Local EPrints ID: 498719
URI: http://eprints.soton.ac.uk/id/eprint/498719
ISSN: 1126-6708
PURE UUID: 4b9e532d-18bb-4ab9-8201-27934e744584
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Date deposited: 25 Feb 2025 18:11
Last modified: 22 Aug 2025 02:43
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Author:
Nikolay Bobev
Author:
Pieter Bomans
Author:
Fridrik F Gautason
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