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Supersymmetric Grey Galaxies, Dual Dressed Black Holes and the Superconformal Index
by Sunjin Choi, Diksha Jain, Seok Kim, Vineeth Krishna, Goojin Kwon, Eunwoo Lee, Shiraz Minwalla, Chintan Patel
Submission summary
Authors (as registered SciPost users): | Diksha Jain |
Submission information | |
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Preprint Link: | scipost_202503_00041v1 (pdf) |
Date submitted: | 2025-03-23 17:07 |
Submitted by: | Jain, Diksha |
Submitted to: | SciPost Physics |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
Motivated by the recent construction of grey galaxy and Dual Dressed Black Hole solutions in AdS5×S5, we present two conjectures relating to the large N entropy of supersymmetric states in N=4 Yang-Mills theory. Our first conjecture asserts the existence of a large number of supersymmetric states which can be thought of as a non interacting mix of supersymmetric black holes and supersymmetric `gravitons'. It predicts a microcanonical phase diagram of supersymmetric states with eleven distinct phases, and makes a sharp prediction for the supersymmetric entropy (as a function of 5 charges) in each of these phases. The microcanonical version of the superconformal index involves a sum over states - with alternating signs - over a line in 5 parameter charge space. Our second conjecture asserts that this sum is dominated by the point on the line that has the largest supersymmetric entropy. This conjecture predicts a large N formula for the superconformal index as a function of indicial charges, and predicts a microcanonical indicial phase diagram with nine distinct phases. It predicts agreement between the superconformal index and black hole entropy in one phase (so over one range of charges), but disagreement in other phases (and so at other values of charges). We compare our predictions against numerically evaluated superconformal index at N≤10, and find qualitative agreement.
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