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Exact QFT duals of AdS black holes
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- Authors
- Issue Date
- 2023-09-20
- Publisher
- Springer
- Citation
- Journal of High Energy Physics, Vol.2023(9):138
- Keywords
- AdS-CFT Correspondence ; Black Holes in String Theory ; D-Branes
- Abstract
- Abstract
We construct large N saddle points of the matrix model for the
N
$$ \mathcal{N} $$
= 4 Yang- Mills index dual to the BPS black holes in AdS5 × S5, in two different setups. When the two complex chemical potentials for the angular momenta are collinear, we find linear eigenvalue distributions which solve the large N saddle point equation. When the chemical potentials are not collinear, we find novel solutions given by areal eigenvalue distributions after slightly reformulating the saddle point problem. We also construct a class of multi-cut saddle points, showing that they sometimes admit nontrivial filling fractions. As a byproduct, we find that the Bethe ansatz equation emerges from our saddle point equation.
- ISSN
- 1029-8479
- Language
- English
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