Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large N
Abstract Many observables in 4d N $$ \mathcal{N} $$ = 4 SYM with Gaiotto-Witten boundary conditions can be described exactly by matrix models via supersymmetric localization. The boundaries typically introduce new degrees of freedom, through a reduction of the gauge symmetry on the boundary or as ex...
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)164 |
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| author | Dongming He Christoph F. Uhlemann |
| author_facet | Dongming He Christoph F. Uhlemann |
| author_sort | Dongming He |
| collection | DOAJ |
| description | Abstract Many observables in 4d N $$ \mathcal{N} $$ = 4 SYM with Gaiotto-Witten boundary conditions can be described exactly by matrix models via supersymmetric localization. The boundaries typically introduce new degrees of freedom, through a reduction of the gauge symmetry on the boundary or as explicit boundary degrees of freedom, leading to non-trivial matrix models. We derive the saddle points dominating these matrix models at large N, expressed in terms of generalized Lambert W-functions. In string theory the BCFTs are realized by D3-branes ending on D5 and NS5 branes. We independently derive the saddle points from the holographic duals with AdS4×S2×S2×Σ geometry and provide precision tests of the dualities. |
| format | Article |
| id | doaj-art-e7df09a83af84581b7618f6b9fba2a07 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e7df09a83af84581b7618f6b9fba2a072025-01-05T12:07:04ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212310.1007/JHEP12(2024)164Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large NDongming He0Christoph F. Uhlemann1Theoretische Natuurkunde, Vrije Universiteit Brussel and The International Solvay InstitutesTheoretische Natuurkunde, Vrije Universiteit Brussel and The International Solvay InstitutesAbstract Many observables in 4d N $$ \mathcal{N} $$ = 4 SYM with Gaiotto-Witten boundary conditions can be described exactly by matrix models via supersymmetric localization. The boundaries typically introduce new degrees of freedom, through a reduction of the gauge symmetry on the boundary or as explicit boundary degrees of freedom, leading to non-trivial matrix models. We derive the saddle points dominating these matrix models at large N, expressed in terms of generalized Lambert W-functions. In string theory the BCFTs are realized by D3-branes ending on D5 and NS5 branes. We independently derive the saddle points from the holographic duals with AdS4×S2×S2×Σ geometry and provide precision tests of the dualities.https://doi.org/10.1007/JHEP12(2024)164AdS-CFT CorrespondenceGauge-Gravity CorrespondenceSupersymmetric Gauge Theory |
| spellingShingle | Dongming He Christoph F. Uhlemann Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large N Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence Supersymmetric Gauge Theory |
| title | Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large N |
| title_full | Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large N |
| title_fullStr | Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large N |
| title_full_unstemmed | Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large N |
| title_short | Solving N $$ \mathcal{N} $$ = 4 SYM BCFT matrix models at large N |
| title_sort | solving n mathcal n 4 sym bcft matrix models at large n |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP12(2024)164 |
| work_keys_str_mv | AT dongminghe solvingnmathcaln4symbcftmatrixmodelsatlargen AT christophfuhlemann solvingnmathcaln4symbcftmatrixmodelsatlargen |