AdS black holes with higher derivative corrections in presence of string cloud
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Regular Article - Theoretical Physics
AdS black holes with higher derivative corrections in presence of string cloud Tanay K. Dey1,a , Subir Mukhopadhyay2,b 1
Department of Physics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rongpo, East Sikkim, Sikkim 737136, India 2 Department of Physics, Sikkim University, 6th Mile, Gangtok 737102, India
Received: 16 July 2020 / Accepted: 18 October 2020 © The Author(s) 2020
Abstract We consider asymptotically AdS black hole solutions in Einstein Gauss Bonnet gravity in presence of string clouds. As in the case of black hole solutions in Gauss Bonnet gravity, it admits three black hole solutions in presence of string clouds as well within a region of the parameter space. Using holography, we have studied the quark–antiquark distance and binding energy in the dual gauge theory.
1 Introduction Study of strongly coupled gauge theories remain a challenge due to lack of appropriate systematic formulations and machineries. On that score, the AdS/CFT duality has been proved to be quite a useful route. This duality implies that SU (Nc ), N = 4 Super Yang-Mills (SYM) theory living on the boundary of the one higher dimensional space time in the limit of strong coupling is dual to a weakly coupled gravity theory in the higher dimensional space time and vice versa [1–4]. It has been found that there is a correspondence between the black hole configurations in the gravity theory and the dual boundary theory in its deconfined phase. On the other hand, the confined phase of the dual gauge theory is dual to pure AdS space time configuration. The transition [5] between the pure AdS configuration and the black hole configuration has been interpreted as equivalent to the transition between the confined and deconfined phases of the dual gauge theory living on the boundary. A more realistic scenario is to consider a gauge theory with fundamental quarks and baryons, which are absent in SU (Nc ), N = 4 SYM theory. In order to incorporate fundamental quarks, [6–10] consider cloud of hanging strings a e-mails:
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b e-mails:
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whose end points are tracing out the contour of the loop at the asymptotic boundary. In the dual gauge theory living at the boundary, the end points of the string correspond to the quark and anti-quark, whereas the string itself corresponds to the gluons. Several works [11–17] have considered string clouds which amounts to considering external heavy quarks in the dual gauge theory. The Einstein theory with string clouds admits black hole solutions with three different radii and the thermodynamics of them has been discussed by one of us [12], which also showed a Hawking–Page like phase transition between two black hole solutions. Such three black hole solutions along with the phase transitions have been showed in [18,19] in the context of Einstein Gauss Bonnet (GB) theory in absence of the string clouds. Thermodyna
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