Large $N$ Universality of 4d $\mathcal{N}=1$ Superconformal Index and AdS Black Holes
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916391434584064 |
|---|---|
| author | Choi, Sunjin Kim, Seunggyu Song, Jaewon |
| author_facet | Choi, Sunjin Kim, Seunggyu Song, Jaewon |
| contents | We study the large $N$ limit of the matrix models associated with the superconformal indices of four-dimensional $\mathcal{N}=1$ superconformal field theories. We find that for a large class of $\mathcal{N}=1$ superconformal gauge theories, the superconformal indices in the large $N$ limit of such theories are dominated by the 'parallelogram' saddle, providing $O(N^2)$ free energy for the generic value of chemical potentials. This saddle corresponds to BPS black holes in AdS$_5$ whenever a holographic dual description is available. Our saddle applies to a large class of gauge theories, including ADE quiver gauge theories, and the theories with rank-2 tensor matters. Our analysis works for most $\mathcal{N}=1$ superconformal gauge theories that admit a suitable large $N$ limit while keeping the flavor symmetry fixed. We also find 'multi-cut' saddle points, which correspond to the orbifolded Euclidean black holes in AdS$_5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07614 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Large $N$ Universality of 4d $\mathcal{N}=1$ Superconformal Index and AdS Black Holes Choi, Sunjin Kim, Seunggyu Song, Jaewon High Energy Physics - Theory We study the large $N$ limit of the matrix models associated with the superconformal indices of four-dimensional $\mathcal{N}=1$ superconformal field theories. We find that for a large class of $\mathcal{N}=1$ superconformal gauge theories, the superconformal indices in the large $N$ limit of such theories are dominated by the 'parallelogram' saddle, providing $O(N^2)$ free energy for the generic value of chemical potentials. This saddle corresponds to BPS black holes in AdS$_5$ whenever a holographic dual description is available. Our saddle applies to a large class of gauge theories, including ADE quiver gauge theories, and the theories with rank-2 tensor matters. Our analysis works for most $\mathcal{N}=1$ superconformal gauge theories that admit a suitable large $N$ limit while keeping the flavor symmetry fixed. We also find 'multi-cut' saddle points, which correspond to the orbifolded Euclidean black holes in AdS$_5$. |
| title | Large $N$ Universality of 4d $\mathcal{N}=1$ Superconformal Index and AdS Black Holes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.07614 |