Spherical branes and the BMN matrix quantum mechanics
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 supersy...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)170 |
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| author | Nikolay Bobev Pieter Bomans Friðrik Freyr Gautason |
| author_facet | Nikolay Bobev Pieter Bomans Friðrik Freyr Gautason |
| author_sort | Nikolay Bobev |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-80b239a129954fd1ab635b4b798a8918 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-80b239a129954fd1ab635b4b798a89182025-02-09T12:08:24ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114310.1007/JHEP01(2025)170Spherical branes and the BMN matrix quantum mechanicsNikolay Bobev0Pieter Bomans1Friðrik Freyr Gautason2Instituut voor Theoretische Fysica & Leuven Gravity Institute, KU LeuvenMathematical Institute, University of OxfordSTAG Research centre & Mathematical Sciences, University of SouthamptonAbstract 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.https://doi.org/10.1007/JHEP01(2025)170AdS-CFT CorrespondenceGauge-Gravity CorrespondenceD-BranesSupersymmetric Gauge Theory |
| spellingShingle | Nikolay Bobev Pieter Bomans Friðrik Freyr Gautason Spherical branes and the BMN matrix quantum mechanics Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence D-Branes Supersymmetric Gauge Theory |
| title | Spherical branes and the BMN matrix quantum mechanics |
| title_full | Spherical branes and the BMN matrix quantum mechanics |
| title_fullStr | Spherical branes and the BMN matrix quantum mechanics |
| title_full_unstemmed | Spherical branes and the BMN matrix quantum mechanics |
| title_short | Spherical branes and the BMN matrix quantum mechanics |
| title_sort | spherical branes and the bmn matrix quantum mechanics |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence D-Branes Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2025)170 |
| work_keys_str_mv | AT nikolaybobev sphericalbranesandthebmnmatrixquantummechanics AT pieterbomans sphericalbranesandthebmnmatrixquantummechanics AT friðrikfreyrgautason sphericalbranesandthebmnmatrixquantummechanics |