T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm (original) (raw)
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T-duality equivalences beyond string theory
Journal of High Energy Physics, 2019
We examine a two parameter family of gravitational actions which contains higher-derivative terms. These are such that the entire action is invariant under corrected T-duality rules, which we derive explicitly. Generically this action does not describe low energy string backgrounds except for isolated choices for the parameters. Nevertheless, we demonstrate that in this theory the entropy and the temperature of generic non-extremal black hole solutions are T-duality invariant. This further supports the idea put forward in our previous work that T-duality might provide physical equivalences beyond the realm of string theory.
Spacetime Duality of BTZ Black Hole
arXiv: General Relativity and Quantum Cosmology, 1998
We consider the duality of the quasilocal black hole thermodynamics, explicitly the quasilocal black hole thermodynamic first law, in BTZ black hole solution as a special one of the three-dimensional low energy effective string theory.
S-Duality and the Entropy of Black Holes in Heterotic String Theory
Modern Physics Letters A, 1996
Four dimensional heterotic string effective action is known to admit non-rotating electrically and magnetically charged black hole solutions. It is shown that the partition functions and entropies in both the cases are identical when these black hole solutions are related by S-duality transformations. The entropy is computed and is vanishing for each black hole in the extremal limit.
SOGANG-HEP-229/97 Spacetime Duality of BTZ Black Hole
1997
We consider the duality of the quasilocal black hole thermodynamics, explicitly the quasilocal black hole thermodynamic first law, in BTZ black hole solution as a special one of the three-dimensional low energy effective string theory.
Bounding the temperatures of black holes dual to strongly coupled field theories on flat spacetime
Journal of High Energy Physics, 2009
We show that AdS black holes dual to field theories on flat spacetime, as used in applications of the AdS/CFT correspondence to strong interaction and condensed matter physics, have temperatures with positive lower bounds. There are two distinct effects involved. For low chemical potentials in the dual field theory, the cooling black hole makes a transition to a state corresponding to confinement in the field theory. For high chemical potentials, it becomes unstable to a non-perturbative string effect. This allows a holographic sketch of the field theory phase diagram, one which is in qualitative agreement with the phenomenological understanding of the theory at [relatively] low temperatures. It also puts an interesting upper bound on the temperature-normalized chemical potential µ of the field theory, if it describes a plasma: in the normalization of Myers et al.,μ must be less than approximately 0.49. Thus, the extent to which a chemical potential can worsen violations of the KSS bound is severely restricted.
AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity
Physical Review D
In this work, we study gravity duals of conformal field theories with boundaries-known as AdS/BCFT correspondence, put forward by Takayanagi [Phys. Rev. Lett. 107, 101602 (2011)]-within a scalar-tensor theory, as proposed by Horndeski in 4D [Int. J. Theor. Phys. 10, 363 (1974)]. We consider the case of 3D gravity dual to 2D BCFT, take a Gibbons-Hawking surface term modified by Horndeski's theory, and find the corresponding 3D (Bañados-Teitelboim-Zanelli) black hole solutions. We analyze the effects of Horndeski gravity on the profile of the extra boundary for the black hole by using an approximate analytic solution. Performing a holographic renormalization, we calculate the free energy and obtain the total entropy and corresponding area, as well as the boundary entropy for the black hole. In particular, the boundary entropy found here can be seen as an extension of the one proposed by Takayanagi. From the free energy, we perform a systematic study of the 3D black hole thermodynamics and present, among our results, an indication of the restoration of conformal symmetry for high temperatures. Finally, we present a study on the influence of Horndeski gravity on the Hawking-Page phase transition where we can see the stable and unstable phases throughout the plane of free energy versus temperature.
Journal of High Energy Physics, 2013
We compute the full asymptotic symmetry group of the four dimensional nearextremal Kerr-Sen black hole within an AdS 2 /CF T 1 correspondence. We do this by performing a Robinson-Wilczek two dimensional reduction and construct an effective quantum theory of the remaining field content. The resulting energy momentum tensor generates an asymptotic Virasoro algebra, to s-wave, with a calculable central extension. This center in conjunction with the proper regularized lowest Virasoro eigen-mode yields the nearextremal Kerr-Sen entropy via the statistical Cardy formula. Finally we analyze quantum holomorphic fluxes of the dual CF T giving rise to a finite Hawking temperature weighted by the central charge of the near-extremal Kerr-Sen metric.
Thermodynamical behaviour of composite stringy black holes
Nuclear Physics B, 2000
We study the thermodynamical and geometrical behaviour of the black holes that arise as solutions of the heterotic string action. We discuss the nearhorizon scaling behaviour of the solutions that are described by two-dimensional Anti-de Sitter space (AdS 2). We find that finite-energy excitations of AdS 2 are suppressed only for scaling limits characterized by a dilaton constant near the horizon, whereas this suppression does not occur when the dilaton is non-constant.
Conceptual Analysis of Black Hole Entropy in String Theory
The microscopic state counting of the extremal Reissner-Nordström black hole performed by Andrew Strominger and Cumrun Vafa in 1996 has proven to be a central result in string theory. Here, with a philosophical readership in mind, the argument is presented in its contemporary context and its rather complex conceptual structure is analysed. In particular, we will identify the various inter-theoretic relations, such as duality and linkage relations, on which it depends. We further aim to make clear why the argument was immediately recognised as a successful accounting for the entropy of this black hole and how it engendered subsequent work that intended to strengthen the string theoretic analysis of black holes. Its relation to the formulation of the AdS/CFT conjecture will be briefly discussed, and the familiar reinterpretation of the entropy calculation in the context of the AdS/CFT correspondence is given. Finally, we discuss the heuristic role that Strominger and Vafa's microscopic account of black hole entropy played for the black hole information paradox. A companion paper analyses the ontology of the Strominger-Vafa black hole states, the question of emergence of the black hole from a collection of D-branes, and the role of the correspondence principle in the context of string theory black holes.