Supersymmetric Yang-Mills, spherical branes, and precision holography
Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on Sd in the strong coupling limit for 2≤d<6. The same calculation can also be performed in supergravity using the recently found sp...
| Main Authors: | , , , , |
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| Format: | Internet publication |
| Language: | English |
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2019
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| _version_ | 1824459233237663744 |
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| author | Bobev, N Bomans, P Gautason, FF Minahan, JA Nedelin, A |
| author_facet | Bobev, N Bomans, P Gautason, FF Minahan, JA Nedelin, A |
| author_sort | Bobev, N |
| collection | OXFORD |
| description | Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on Sd in the strong coupling limit for 2≤d<6. The same calculation can also be performed in supergravity using the recently found spherical brane solutions. We find excellent agreement between the two sets of results. This constitutes a non-trivial precision test of holography in a non-conformal setting. The free energy of maximal SYM on S6 diverges in the strong coupling limit which might signify the onset of little string theory. We show how this divergence can be regularized both in QFT and in supergravity. We also consider d=7 with a small negative 't Hooft coupling and show that the free energy and Wilson loop vacuum expectation value agree with the results from supergravity after addressing some subtleties. |
| first_indexed | 2025-02-19T04:38:32Z |
| format | Internet publication |
| id | oxford-uuid:d6be1829-6759-4a9f-8268-3dba2c77be80 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2025-02-19T04:38:32Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | oxford-uuid:d6be1829-6759-4a9f-8268-3dba2c77be802025-02-06T11:45:17ZSupersymmetric Yang-Mills, spherical branes, and precision holographyInternet publicationhttp://purl.org/coar/resource_type/c_7ad9uuid:d6be1829-6759-4a9f-8268-3dba2c77be80EnglishSymplectic Elements2019Bobev, NBomans, PGautason, FFMinahan, JANedelin, AUsing supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on Sd in the strong coupling limit for 2≤d<6. The same calculation can also be performed in supergravity using the recently found spherical brane solutions. We find excellent agreement between the two sets of results. This constitutes a non-trivial precision test of holography in a non-conformal setting. The free energy of maximal SYM on S6 diverges in the strong coupling limit which might signify the onset of little string theory. We show how this divergence can be regularized both in QFT and in supergravity. We also consider d=7 with a small negative 't Hooft coupling and show that the free energy and Wilson loop vacuum expectation value agree with the results from supergravity after addressing some subtleties. |
| spellingShingle | Bobev, N Bomans, P Gautason, FF Minahan, JA Nedelin, A Supersymmetric Yang-Mills, spherical branes, and precision holography |
| title | Supersymmetric Yang-Mills, spherical branes, and precision holography |
| title_full | Supersymmetric Yang-Mills, spherical branes, and precision holography |
| title_fullStr | Supersymmetric Yang-Mills, spherical branes, and precision holography |
| title_full_unstemmed | Supersymmetric Yang-Mills, spherical branes, and precision holography |
| title_short | Supersymmetric Yang-Mills, spherical branes, and precision holography |
| title_sort | supersymmetric yang mills spherical branes and precision holography |
| work_keys_str_mv | AT bobevn supersymmetricyangmillssphericalbranesandprecisionholography AT bomansp supersymmetricyangmillssphericalbranesandprecisionholography AT gautasonff supersymmetricyangmillssphericalbranesandprecisionholography AT minahanja supersymmetricyangmillssphericalbranesandprecisionholography AT nedelina supersymmetricyangmillssphericalbranesandprecisionholography |