Black hole entropy function for toric theories via Bethe Ansatz

Black hole entropy function for toric theories via Bethe Ansatz

Blog Article

Abstract We evaluate the large-N behavior of the superconformal indices of toric quiver gauge theories, and use it to find the entropy functions of the dual electrically charged rotating AdS5 black holes.To this end, we employ the recently proposed Bethe Ansatz method, and find a certain set of solutions to the Bethe Ansatz Equations of Magnesium toric theories.This, in turn, allows us to compute the large-N behavior of the index for these theories, including the infinite families Y pq , X pq and L pqr of quiver gauge theories.

Our results are in perfect agreement with the predictions made glove pouch recently using the Cardy-like limit of the superconformal index.We also explore the index structure in the space of chemical potentials and describe the pattern of Stokes lines arising in the conifold theory case.