Higher spin fermions in the BTZ black hole

Datta, Shouvik ; David, Justin R. (2012) Higher spin fermions in the BTZ black hole Journal of High Energy Physics, 2012 (7). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP07(2012)079

Related URL: http://dx.doi.org/10.1007/JHEP07(2012)079


Recently it has been shown that the wave equations of bosonic higher spin fields in the BTZ background can be solved exactly. In this work we extend this analysis to fermionic higher spin fields. We solve the wave equations for arbitrary half-integer spin fields in the BTZ black hole background and obtain exact expressions for their quasinormal modes. These quasinormal modes are shown to agree precisely with the poles of the corresponding two point function in the dual conformal field theory as predicted by the AdS/CFT correspondence. We also obtain an expression for the 1-loop determinant for the Euclidean non-rotating BTZ black hole in terms of the quasinormal modes which agrees with that obtained by integrating the heat kernel found by group theoretic methods.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Black Holes in String Theory; Ads-cft Correspondence; Black Holes.
ID Code:117028
Deposited On:14 Apr 2021 08:34
Last Modified:14 Apr 2021 08:34

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