Solving $\mathcal N=4$ SYM BCFT matrix models at large $N$
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908573939793920 |
|---|---|
| author | He, Dongming Uhlemann, Christoph F. |
| author_facet | He, Dongming Uhlemann, Christoph F. |
| contents | Many observables in 4d $\mathcal N=4$ 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 $\rm AdS_4\times S^2\times S^2\timesΣ$ geometry and provide precision tests of the dualities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13016 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solving $\mathcal N=4$ SYM BCFT matrix models at large $N$ He, Dongming Uhlemann, Christoph F. High Energy Physics - Theory Many observables in 4d $\mathcal N=4$ 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 $\rm AdS_4\times S^2\times S^2\timesΣ$ geometry and provide precision tests of the dualities. |
| title | Solving $\mathcal N=4$ SYM BCFT matrix models at large $N$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.13016 |