HAGEDORN BEHAVIOR OF STRINGS IN AdS3/BTZ

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2264-2266
Author(s):  
TOSHIHIRO MATSUO
Keyword(s):  
Black Hole ◽  
Thermodynamic Properties ◽  
Finite Temperature ◽  
Btz Black Hole ◽  
Curved Space ◽  
Black Hole Background

We study a finite temperature string in curved space, especially in AdS3 and BTZ black hole background. We extract Hagedorn behavior of strings and argue thermodynamic properties in thermal AdS3 as well as in BTZ black hole background. In particular, we find the Hagedorn temperature of string on AdS3, which depends on the AdS3 curvature scale. We also find a tachyonic divergence for a BTZ black hole of string scale.

scholarly journals Volume complexity for Janus AdS3 geometries

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Roberto Auzzi ◽  
Stefano Baiguera ◽  
Sara Bonansea ◽  
Giuseppe Nardelli ◽  
Kristian Toccacelo
Keyword(s):  
Black Hole ◽  
Time Evolution ◽  
Finite Temperature ◽  
Time Dependent ◽  
Equilibrium System ◽  
Btz Black Hole ◽  
Temperature Dependent ◽  
Logarithmic Divergence ◽  
Black Hole Background

Abstract We investigate the complexity=volume proposal in the case of Janus AdS3 geometries, both at zero and finite temperature. The leading contribution coming from the Janus interface is a logarithmic divergence, whose coefficient is a function of the dilaton excursion. In the presence of the defect, complexity is no longer topological and becomes temperature-dependent. We also study the time evolution of the extremal volume for the time-dependent Janus BTZ black hole. This background is not dual to an interface but to a pair of entangled CFTs with different values of the couplings. At late times, when the equilibrium is restored, the couplings of the CFTs do not influence the complexity rate. On the contrary, the complexity rate for the out-of-equilibrium system is always smaller compared to the pure BTZ black hole background.

scholarly journals Normal-mode analysis for scalar fields in BTZ black-hole background

2009 ◽  
Vol 60 (2) ◽  
pp. 169-173 ◽  
Author(s):  
Sayan K. Chakrabarti ◽  
Pulak Ranjan Giri ◽  
Kumar S. Gupta
Keyword(s):  
Black Hole ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Scalar Fields ◽  
Mode Analysis ◽  
Btz Black Hole ◽  
Black Hole Background

scholarly journals STRING THEORY ON THREE-DIMENSIONAL BLACK HOLES

1998 ◽  
Vol 13 (08) ◽  
pp. 1229-1262 ◽  
Author(s):  
MAKOTO NATSUUME ◽  
YUJI SATOH
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Three Dimensional ◽  
Matching Condition ◽  
Target Space ◽  
Black Hole Mass ◽  
Curved Space ◽  
Conformal Field ◽  
Black Hole Background

We investigate the string theory on three-dimensional black holes discovered by Bañados, Teitelboim and Zanelli in the framework of conformal field theory. The model is described by an orbifold of the [Formula: see text] WZW model. The spectrum is analyzed by solving the level matching condition and we obtain winding modes. We then study the ghost problem and show explicit examples of physical states with negative norms. We discuss the tachyon propagation and the target space geometry, which are irrelevant to the details of the spectrum. we find a self-dual T-duality transformation reversing the black hole mass. We also discuss difficulties in string theory on curved space–time and possibilities of obtaining a sensible string theory on three-dimensional black holes. This work is the first attempt to quantize a string theory in a black hole background with an infinite number of propagating modes.

scholarly journals Cosmic string in the BTZ black hole background with time-dependent tension

2011 ◽  
Vol 703 (1) ◽  
pp. 14-19 ◽  
Author(s):  
J. Sadeghi ◽  
H. Farahani ◽  
B. Pourhassan ◽  
S.M. Noorbakhsh
Keyword(s):  
Black Hole ◽  
Cosmic String ◽  
Time Dependent ◽  
Btz Black Hole ◽  
Black Hole Background

scholarly journals From the BTZ black hole to JT gravity: geometrizing the island

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Evita Verheijden ◽  
Erik Verlinde
Keyword(s):  
Black Hole ◽  
Finite Temperature ◽  
Three Dimensional ◽  
Point Of View ◽  
Geometric Representation ◽  
Two Dimensional ◽  
Btz Black Hole ◽  
Island Region ◽  
Dimensional Spacetime ◽  
Over Time

Abstract We study the evaporation of two-dimensional black holes in JT gravity from a three-dimensional point of view. A partial dimensional reduction of AdS3 in Poincaré coordinates leads to an extremal 2D black hole in JT gravity coupled to a ‘bath’: the holographic dual of the remainder of the 3D spacetime. Partially reducing the BTZ black hole gives us the finite temperature version. We compute the entropy of the radiation using geodesics in the three-dimensional spacetime. We then focus on the finite temperature case and describe the dynamics by introducing time-dependence into the parameter controlling the reduction. The energy of the black hole decreases linearly as we slowly move the dividing line between black hole and bath. Through a re-scaling of the BTZ parameters we map this to the more canonical picture of exponential evaporation. Finally, studying the entropy of the radiation over time leads to a geometric representation of the Page curve. The appearance of the island region is explained in a natural and intuitive fashion.

scholarly journals The Abrikosov vortex in curved space

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Jan Albert
Keyword(s):  
Black Hole ◽  
The Self ◽  
Singular Solutions ◽  
Abrikosov Vortex ◽  
Btz Black Hole ◽  
Holographic Superconductor ◽  
Curved Space ◽  
Asymptotically Flat ◽  
Higher Dimensional ◽  
Vortex Solutions

Abstract We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singularity of the point particle’s metric in 3 dimensions, whereas singular solutions consist of vortices holding a conical singularity at their core. There are no black hole vortex solutions. In the asymptotically AdS case, in addition to these solutions there exist singular solutions containing a BTZ black hole, but they are always hairless. So we find that in contrast with 4-dimensional ’t Hooft-Polyakov monopoles, which can be regarded as their higher-dimensional analogues, Abrikosov vortices cannot hold a black hole at their core. We also describe the implications of these results in the context of AdS/CFT and propose an interpretation for their CFT dual along the lines of the holographic superconductor.

scholarly journals A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE

2014 ◽  
Vol 54 (2) ◽  
pp. 142-148 ◽  
Author(s):  
Satoshi Ohya
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Conformal Field Theory ◽  
Finite Temperature ◽  
Momentum Space ◽  
Recurrence Relations ◽  
Linear Recurrence ◽  
Momentum Dependence ◽  
Btz Black Hole ◽  
Conformal Field

We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence and ladder equations of the Lie algebra so(2,2) ∼= sl(2,R)<sub>L</sub>⊕sl(2,R)<sub>R</sub>, we show that the finite-temperature two-point functions in momentum space satisfy linear recurrence relations with respect to the left and right momenta. These recurrence relations are exactly solvable and completely determine the momentum-dependence of retarded and advanced two-point functions of finite-temperature conformal field theory.

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