Microstates of rotating \(\mathrm{AdS}_{5} \) strings

DOI10.1007/JHEP11(2019)090zbMATH Open1429.83092arXiv1909.08000WikidataQ126786289 ScholiaQ126786289MaRDI QIDQ2292508

Author name not available (Why is that?)

Publication date: 3 February 2020

Published in: (Search for Journal in Brave)

Abstract: We provide a general formula for the refined topologically twisted index of

m a t h c a l N = 1

gauge theories living on the world-volume of D3-branes at conical Calabi-Yau singularities in the Cardy limit. The index is defined as the partition function on

T^{2} i m e s S_{o}^{2} m e g a

, with a partial topological twist and a

O m e g a

-deformation along

S^{2}

, in the presence of background magnetic fluxes and fugacities for the global symmetries and can be used to study the properties of a class of BPS black strings. To this purpose, we find rotating domain-wall solutions of five-dimensional gauged supergravity interpolating between AdS

_{5}

and a near horizon region consisting of a warped fibration of BTZ over a sphere. We explicitly construct rotating domain-walls that can be embedded in AdS

_{5} i m e s S^{5}

by uplifting a class of four-dimensional rotating black holes. We then provide a microscopic explanation of the entropy of such black holes by using the refined topologically twisted index of

m a t h c a l N = 4

super Yang-Mills.

Full work available at URL: https://arxiv.org/abs/1909.08000

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