2019/09/30 by Seyed Morteza Hosseini, Kiril Hristov, Alberto Zaffaroni · 1 citation
Physics and Astronomy · #BTZ black hole #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Fibration #Gauged supergravity #Gravitational singularity #Homogeneous space #Noncommutative and Quantum Gravity Theories #Orbifold #Partition function (quantum field theory) #Supergravity #Twist #hep-th
paper · pdf · doi:10.1007/jhep11(2019)090
published as JHEP11(2019)090 · 31 pages; v2: typos corrected
openalex publication_date 2019/11/01 · openalex created_date 2019/11/22 · arxiv created 2021/05/22 · arxiv updated 2021/05/25 · openalex updated_date 2026/08/05
A bstract We provide a general formula for the refined topologically twisted index of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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 × Sω2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>ω</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> </mml:math> , 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 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 × 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 N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 super Yang-Mills.