Spherical branes and the BMN matrix quantum mechanics
We study the maximally supersymmetric Yang-Mills theory on Sd 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 lo...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2025
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| _version_ | 1824459118648229888 |
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| author | Bobev, N Bomans, P Gautason, FF |
| author_facet | Bobev, N Bomans, P Gautason, FF |
| author_sort | Bobev, N |
| collection | OXFORD |
| description | We study the maximally supersymmetric Yang-Mills theory on Sd 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 Sd 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. |
| first_indexed | 2025-02-19T04:36:42Z |
| format | Journal article |
| id | oxford-uuid:a8ed80d9-e3eb-4569-a0bd-9bde72766b75 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2025-02-19T04:36:42Z |
| publishDate | 2025 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:a8ed80d9-e3eb-4569-a0bd-9bde72766b752025-02-03T20:10:55ZSpherical branes and the BMN matrix quantum mechanicsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a8ed80d9-e3eb-4569-a0bd-9bde72766b75EnglishJisc Publications RouterSpringer2025Bobev, NBomans, PGautason, FFWe study the maximally supersymmetric Yang-Mills theory on Sd 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 Sd 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. |
| spellingShingle | Bobev, N Bomans, P Gautason, FF Spherical branes and the BMN matrix quantum mechanics |
| 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 |
| work_keys_str_mv | AT bobevn sphericalbranesandthebmnmatrixquantummechanics AT bomansp sphericalbranesandthebmnmatrixquantummechanics AT gautasonff sphericalbranesandthebmnmatrixquantummechanics |