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- Title
- Large N universality of 4d N=1 superconformal index and AdS black holes
- KIAS Author
- Choi, Sunjin
- Journal
- JOURNAL OF HIGH ENERGY PHYSICS, 2024
- Archive
-
2309.07614
- Abstract
- We study the large N limit of the matrix models associated with the superconformal indices of four-dimensional N = 1 superconformal field theories. We find that for a large class of 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 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).
