BTZ black hole with Chern-Simons and higher derivative terms

Sahoo, Bindusar; Sen, Ashoke

doi:10.1088/1126-6708/2006/07/008

Cited by 115 publications

(163 citation statements)

References 16 publications

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“…One of the mysteries of TMG is why the rotating BTZ black hole entropy picks up a contribution proportional to the inner horizon area [70][71][72][73][74]. That this must be true follows from Cardy's formula, but we lack a geometric picture for this.…”

Section: Jhep05(2014)052mentioning

confidence: 98%

Comments on Rényi entropy in AdS3/CFT2

Perlmutter

2014

J. High Energ. Phys.

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Abstract:We extend and refine recent results on Rényi entropy in two-dimensional conformal field theories at large central charge. To do so, we examine the effects of higher spin symmetry and of allowing unequal left and right central charges, at leading and subleading order in large total central charge. The result is a straightforward generalization of previously derived formulae, supported by both gravity and CFT arguments. The preceding statements pertain to CFTs in the ground state, or on a circle at unequal left-and right-moving temperatures. For the case of two short intervals in a CFT ground state, we derive certain universal contributions to Rényi and entanglement entropy from Virasoro primaries of arbitrary scaling weights, to leading and next-to-leading order in the interval size; this result applies to any CFT. When these primaries are higher spin currents, such terms are placed in one-to-one correspondence with terms in the bulk 1-loop determinants for higher spin gauge fields propagating on handlebody geometries.

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Section: Jhep05(2014)052mentioning

confidence: 98%

Comments on Rényi entropy in AdS3/CFT2

Perlmutter

2014

J. High Energ. Phys.

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“…In another interesting development, Sahoo and Sen [16] have computed the 1 Ricci flatness in two dimensions implies a flat space. 2 See Ref.…”

Section: Introductionmentioning

confidence: 99%

On the thermodynamic geometry of BTZ black holes

Sarkar

Sengupta

Tiwari

2006

J. High Energy Phys.

147

145

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We investigate the Ruppeiner geometry of the thermodynamic state space of a general class of BTZ black holes. It is shown that the thermodynamic geometry is flat for both the rotating BTZ and the BTZ Chern Simons black holes in the canonical ensemble. We further investigate the inclusion of thermal fluctuations to the canonical entropy of the BTZ Chern Simons black holes and show that the leading logartithmic correction due to Carlip is reproduced. We establish that the inclusion of thermal fluctuations induces a non zero scalar curvature to the thermodynamic geometry.

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“…For F I and H m which play the role of gauge field strengths it follows that e I = f I and p m = h m are the electric fields and magnetic charges, respectively. 9 It can be shown that for background (4.4) solving of equations of motion is equivalent to extremization of the (algebraic) function F , defined by…”

Section: Sen's Entropy Function Methodsmentioning

confidence: 99%

“…So, for our purposes it would be enough to have result which is manifestly covariant in two reduced 2-dimensional spaces (AdS 2 and S 2 ). In three dimensions it is known [8,9] that for the metrics of the "Kaluza-Klein form" 38) where 0 ≤ m, n ≤ 1, we have (modulo total derivative terms)…”

Section: Pos(bhs Gr and Strings)033mentioning

confidence: 99%