Winding tachyons on a Banados-Teitelboim-Zanelli spacetime

In this paper, we discuss Rindler space string thermodynamics from a thermal scalar point of view as an explicit example of the results obtained in [1]. We discuss the critical behavior of the string gas and interpret this as a random walk near the black hole horizon. Combining field theory arguments with the random walk path integral picture, we realize (at genus one) the picture put forward by Susskind of a long string surrounding black hole horizons. We find that thermodynamics is dominated by a long string living at stringscale distance from the horizon whose redshifted temperature is the Rindler or Hawking temperature. We provide further evidence of the recent proposal for string theory at the tip of the cigar by comparing with the flat space orbifold approach to Rindler thermodynamics. We discuss all types of closed strings (bosonic, type II and heterotic strings).

Section: Jhep03(2014)086mentioning

confidence: 90%

Random walks in Rindler spacetime and string theory at the tip of the cigar

Mertens

Verschelde

Захаров

2014

“…In the undeformed theory, the Noether currents also feature topological terms which distinguish them from the chiral currents obtained in the WZW formulation. As discussed in [103,104], these topological terms are physically relevant. Therefore, we identify the left and right-moving energies of the JT -deformed CFT with the zero mode charges of the j ∂u and j ∂ t − currents, which are the natural quantities to consider in the TsT-transformed background.…”

Section: Matching the Spectrum To Jtmentioning

confidence: 95%

“…(ii ) what the deformed and undeformed U (1) charges are; and (iii ) which Noether charges correspond to the left and right-moving energies in the dual field theory. We note that subtleties in the identification of the energy and angular momentum already arise for strings on the undeformed BTZ background [103,104]. In this paper we address these points as follows:…”

Section: Matching the Spectrum To Jtmentioning

confidence: 98%

See 1 more Smart Citation

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

Apolo

Song

2020

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.

“…However, from the worldsheet point of view it is the elliptic deformation that is the most tractable because the spectrum of SL(2, R) is unduly complicated in the hyperbolic or parabolic basis. This seemingly technical issue is one of the reasons why the description of the string spectrum on AdS 3 , including the subtle issue of the spectrally flowed sectors [47][48][49], is better understood than it is for BTZ black holes (see however [50][51][52]) even though the two spaces are related by discrete identifications. In particular, it is not even clear how the space-time Virasoro algebra arises from the worldsheet description of the BTZ black hole [51] which is why, in this paper, we will exclusively study the elliptic (time-like) deformation of AdS 3 , hoping to one day return to tackle the null and space-like cases.…”

Section: Introductionmentioning

confidence: 99%

String theory on warped AdS3 and Virasoro resonances

Detournay

Israël

Lapan

et al. 2011

We investigate aspects of holographic duals to time-like warped AdS 3 spacetimes -which include Gödel's universe -in string theory. Using worldsheet techniques similar to those that have been applied to AdS 3 backgrounds, we are able to identify spacetime symmetry algebras that act on the dual boundary theory. In particular, we always find at least one Virasoro algebra with computable central charge. Interestingly, there exists a dense set of points in the moduli space of these models in which there is actually a second commuting Virasoro algebra, typically with different central charge than the first. We analyze the supersymmetry of the backgrounds, finding related enhancements, and comment on possible interpretations of these results. We also perform an asymptotic symmetry analysis at the level of supergravity, providing additional support for the worldsheet analysis.