Note on the first law with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-form potentials

Compère, Geoffrey

doi:10.1103/physrevd.75.124020

Cited by 51 publications

(90 citation statements)

References 30 publications

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“…where k µν ξ,f denotes the contribution of the field f = {g, B, Φ} to the variation of the charge. For the action (3.1) the k µν ξ,f two-forms are given by [105,107] k µν ξ,g =…”

Section: Charges and Thermodynamic Potentialsmentioning

confidence: 99%

Heating up holography for single-trace $$ J\overline{T} $$ deformations

Apolo

Song

2020

J. High Energ. Phys.

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We study thermodynamic aspects of a tractable toy model of holography for extremal Kerr black holes proposed in [1]. On the gravity side, the theory can be described by the worldsheet action of string theory on a warped AdS 3 background supported by NS-NS flux. Once we turn on temperature, the deformed background is described by a black string solution of type IIB supergravity that features a locally warped AdS 3 factor. The dual field theory is conjectured to be a single-trace version of a JT -deformed CFT at finite temperature. As evidence for the correspondence we show that the spectrum of strings winding on the deformed background agrees with the spectrum of JT -deformed CFTs. Furthermore, we show that the gravitational charges of the black string match the averaged charges of a thermal ensemble in the dual field theory. Finally, we reproduce the Bekenstein-Hawking entropy of the black string from the microscopic density of states of JT -deformed CFTs.

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“…where k µν ξ,f denotes the contribution of the field f = {g, B, Φ} to the variation of the charge. For the action (3.1) the k µν ξ,f two-forms are given by [105,107] k µν ξ,g =…”

Section: Charges and Thermodynamic Potentialsmentioning

confidence: 99%

Heating up holography for single-trace $$ J\overline{T} $$ deformations

Apolo

Song

2020

J. High Energ. Phys.

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“…HereΦ denote the background metric and two-form fields in the theory, and the expression for K ξ can be found, including the contribution of the two-form potentials, in [69]. The integral is performed over the spatial boundary of the spacetimes, which in our case is S 3 ×S 1 y .…”

Section: Jhep12(2012)009mentioning

confidence: 99%

Kerr/CFT, dipole theories and nonrelativistic CFTs

El-Showk

Guica

2012

J. High Energ. Phys.

142

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We study solutions of type IIB supergravity which are SL(2, R)×SU(2)×U(1) 2 invariant deformations of AdS 3 ×S 3 ×K3 and take the form of products of self-dual spacelike warped AdS 3 and a deformed three-sphere. One of these backgrounds has been recently argued to be relevant for a derivation of Kerr/CFT from string theory, whereas the remaining ones are holographic duals of two-dimensional dipole theories and their S-duals. We show that each of these backgrounds is holographically dual to a deformation of the DLCQ of the D1-D5 CFT by a specific supersymmetric (1,2) operator, which we write down explicitly in terms of twist operators at the free orbifold point. The deforming operator is argued to be exactly marginal with respect to the zero-dimensional nonrelativistic conformal (or Schrödinger) group -which is simply SL(2, R) L × U(1) R . Moreover, in the supergravity limit of large N and strong coupling, no other single-trace operators are turned on. We thus propose that the field theory duals to the backgrounds of interest are nonrelativistic CFTs defined by adding the single Scrödinger-invariant (1, 2) operator mentioned above to the original CFT action. Our analysis indicates that the rotating extremal black holes we study are best thought of as finite right-moving temperature (non-supersymmetric) states in the above-defined supersymmetric nonrelativistic CFT and hints towards a more general connection between Kerr/CFT and two-dimensional non-relativistic CFTs.

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“…Using the covariant cohomological methods to the conserved charges for p-form gauge fields coupled to gravity the first law of thermodynamics was found in Ref. [26].…”

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confidence: 99%