Journal of High Energy Physics

, 2019:90 | Cite as

Microstates of rotating AdS5 strings

  • Seyed Morteza HosseiniEmail author
  • Kiril Hristov
  • Alberto Zaffaroni
Open Access
Regular Article - Theoretical Physics


We provide a general formula for the refined topologically twisted index of \( \mathcal{N} \) = 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 T2×\( {S}_{\omega}^2 \), with a partial topological twist and a Ω-deformation along S , 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 AdS5 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 AdS5× S5 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 \( \mathcal{N} \) = 4 super Yang-Mills.


AdS-CFT Correspondence Black Holes in String Theory Supersymmetric Gauge Theory Conformal Field Theory 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Kavli IPMU (WPI), UTIASThe University of TokyoChibaJapan
  2. 2.Institute for Nuclear Research and Nuclear EnergyBulgarian Academy of SciencesSofiaBulgaria
  3. 3.Dipartimento di FisicaUniversità di Milano-BicoccaMilanoItaly
  4. 4.INFN, sezione di Milano — BicoccaMilanoItaly

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