On non-chiral extension of Kerr/CFT

• Published in: The journal of high energy physics Vol. 2011; no. 6
• Main Authors: Azeyanagi, Tatsuo, Ogawa, Noriaki, Terashima, Seiji
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.06.2011; Springer Nature B.V
• Subjects: Asymptotic properties; Classical and Quantum Gravitation; Elementary Particles; High energy physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regularization; Relativity Theory; String Theory; Symmetry; AdS-CFT Correspondence; Black Holes; Space-Time Symmetries
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP06(2011)081

We discuss possible non-chiral extension of the Kerr/CFT correspondence. We first consider the near horizon geometry of an extremal BTZ black hole and study the asymptotic symmetry. In order to define it properly, we introduce a regularization and show that the asymptotic symmetry becomes the desirable non-chiral Virasoro symmetry with the same central charges for both left and right sectors, which are independent of the regularization parameter. We then investigate the non-chiral extension for general extremal black holes in the zero entropy limit. Since the same geometric structure as above emerges in this limit, we identify non-chiral Virasoro symmetry by a similar procedure. This observation supports the existence of a hidden non-chiral CFT 2 structure with the same central charges for both left and right sectors dual to the rotating black holes.