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The journal of high energy physics, 2023-09, Vol.2023 (9), p.138-39, Article 138
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2023
Quelle
Free E-Journal (出版社公開部分のみ)
Beschreibungen/Notizen
A
bstract
We construct large
N
saddle points of the matrix model for the
N
= 4 Yang- Mills index dual to the BPS black holes in
AdS
5
×
S
5
, 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.