Supersymmetric Rényi entropy and charged hyperbolic black holes

• Published in: The journal of high energy physics 2020-07, Vol.2020 (7), p.1-40, Article 131
• Main Authors: Hosseini, Seyed Morteza, Toldo, Chiara, Yaakov, Itamar
• Format: Article
• Language: English
• Subjects: AdS-CFT Correspondence; Angular momentum; Black holes; Black Holes in String Theory; Classical and Quantum Gravitation; Elementary Particles; Entropy; Field theory; High energy physics; High Energy Physics - Theory; Partitions (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supergravity; Supersymmetric Gauge Theory; Supersymmetry
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP07(2020)131

A bstract The supersymmetric Rényi entropy across a spherical entangling surface in a d -dimensional SCFT with flavor defects is equivalent to a supersymmetric partition function on H d− 1 × S 1 , which can be computed exactly using localization. We consider the holographically dual BPS solutions in ( d + 1)-dimensional matter coupled supergravity ( d = 3 , 5), which are charged hyperbolically sliced AdS black holes. We compute the renormalized on-shell action and the holographic supersymmetric Rényi entropy and show a perfect match with the field theory side. Our setup allows a direct map between the chemical potentials for the global symmetries of the field theories and those of the gravity solutions. We also discuss a simple case where angular momentum is added.