Black hole hair removal for N = 4 CHL models

Subhroneel Chakrabarti (The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, Tamil Nadu, 600113, India; Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400085, India) ; Suresh Govindarajan (Department of Physics, Indian Institute of Technology Madras, Chennai, 600036, India) ; P. Shanmugapriya (Chennai Mathematical Institute, H1 SIPCOT IT Park, Kelambakkam, Tamil Nadu, 603103, India) ; Yogesh Srivastava (National Institute of Science Education and Research (NISER), P.O. Jatni, Khurda, Bhubaneswar, Odisha, 752050, India; Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400085, India) ; Amitabh Virmani (Chennai Mathematical Institute, H1 SIPCOT IT Park, Kelambakkam, Tamil Nadu, 603103, India)

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.

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      "surname": "Govindarajan", 
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      "source": "Springer", 
      "value": "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."
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Published on:
15 February 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 2
Pages 1-57
DOI:
https://doi.org/10.1007/JHEP02(2021)125
arXiv:
2010.02240
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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