Black hole hair removal for N = 4 CHL models

• Published in: The journal of high energy physics Vol. 2021; no. 2; pp. 1 - 57
• Main Authors: Chakrabarti, Subhroneel, Govindarajan, Suresh, Shanmugapriya, P., Srivastava, Yogesh K., Virmani, Amitabh
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2021; Springer Nature B.V; SpringerOpen
• Subjects: Black holes; Black Holes in String Theory; Classical and Quantum Gravitation; D-branes; Elementary Particles; Geometry; Gravity; Hair removal; High energy physics; Horizon; Partitions (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Smoothness; String Theory; Black Holes in String Theory; D-branes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP02(2021)125

A bstract Although BMPV black holes in flat space and in Taub-NUT space have identical near-horizon geometries, they have different indices from the microscopic analysis. For K3 compactification of type IIB theory, Sen et al. in a series of papers identified that the key to resolving this puzzle is the black hole hair modes: smooth, normalisable, bosonic and fermionic degrees of freedom living outside the horizon. In this paper, we extend their study to N = 4 CHL orbifold models. For these models, the puzzle is more challenging due to the presence of the twisted sectors. We identify hair modes in the untwisted as well as twisted sectors. We show that after removing the contributions of the hair modes from the microscopic partition functions, the 4d and 5d horizon partition functions agree. Special care is taken to present details on the smoothness analysis of hair modes for rotating black holes, thereby filling an essential gap in the literature.