Thermodynamics of the near-extremal NS5-brane

Harmark, Troels; Obers, Niels A.

doi:10.1016/j.nuclphysb.2006.01.045

Cited by 9 publications

(20 citation statements)

References 48 publications

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“…One interesting feature in this case is that the system exhibits a Hagedorn behavior, with the localized phase providing a stable phase that extends up to a limiting temperature that lies above the Hagedorn temperature. The same behavior was recently found in the thermodynamics of the nearextremal NS5-brane [41]. More generally, the two-charge system has the interesting aspect that the AdS/CFT correspondence tells us that our deformations of the usual two-charge solution without the presence of the transverse circle should have a counterpart as deformations of the dual two-dimensional CFT.…”

Section: Discussionsupporting

confidence: 78%

“…More generally, it is found that the thermodynamic behavior for the near-extremal two-charge case is completely analogous to that of the near-extremal NS5-brane recently considered in Ref. [41].…”

Section: Introductionsupporting

confidence: 66%

“…The picture that emerges in this system is in many respects analogous to the one considered in Ref. [41] where the thermodynamics of near-extremal NS5-branes was studied, and applied to Little String Theory. In particular, we see from the above that also here, the localized phase provides a new stable phase in the canonical ensemble, extending to a maximum temperature that lies above the Hagedorn temperature.…”

Section: Near-extremal Limitmentioning

confidence: 70%

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Three-charge black holes on a circle

Harmark¹,

Obers²,

Rønne³

et al. 2007

J. High Energy Phys.

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We study phases of five-dimensional three-charge black holes with a circle in their transverse space. In particular, when the black hole is localized on the circle we compute the corrections to the metric and corresponding thermodynamics in the limit of small mass. When taking the near-extremal limit, this gives the corrections to the finite entropy of the extremal three-charge black hole as a function of the energy above extremality. For the partial extremal limit with two charges sent to infinity and one finite we show that the first correction to the entropy is in agreement with the microscopic entropy by taking into account that the number of branes shift as a consequence of the interactions across the transverse circle. Beyond these analytical results, we also numerically obtain the entire phase of non-and near-extremal three-and two-charge black holes localized on a circle. More generally, we find in this paper a rich phase structure, including a new phase of threecharge black holes that are non-uniformly distributed on the circle. All these three-charge black hole phases are found via a map that relates them to the phases of five-dimensional neutral Kaluza-Klein black holes.

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Section: Discussionsupporting

confidence: 78%

Section: Introductionsupporting

confidence: 66%

Section: Near-extremal Limitmentioning

confidence: 70%

See 1 more Smart Citation

Three-charge black holes on a circle

Harmark¹,

Obers²,

Rønne³

et al. 2007

J. High Energy Phys.

Self Cite

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show abstract

“…3) we can use the map (5.23) to make some general observations [58]. For example, the map implies that the (E, r) phase diagram for the near-extremal Dp-branes has the same qualitative form as that in Fig.…”

Section: The Expected T(e) Diagram For D-branes On a Circlementioning

confidence: 99%

“…36 In this section we discuss gauge/gravity duals in which the gravity side exhibits a Gregory-Laflamme instability. The presence of this classical gravitational instability in the bulk has important consequences for the gauge theory on the boundary, which we review following [56,57,155,66,58]. Focusing on a set of examples that are closely connected to the material of this review we will consider first D-branes on a circle, where the relevant gauge theory is super-Yang-Mills theory on a circle.…”

Section: Holographic Implicationsmentioning

confidence: 99%

Instabilities of black strings and branes

Harmark¹,

Niarchos²,

Obers³

2007

Class. Quantum Grav.

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186

268

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We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on Gregory-Laflamme instabilities. In the first part of the review we provide a detailed discussion of the classical gravitational instability of the neutral uniform black string in higher dimensional gravity. The uniform black string is part of a larger phase diagram of Kaluza-Klein black holes which will be discussed thoroughly. This phase diagram exhibits many interesting features including new phases, non-uniqueness and horizontopology changing transitions. In the second part, we turn to charged black branes in supergravity and show how the Gregory-Laflamme instability of the neutral black string implies via a boost/U-duality map similar instabilities for non-and near-extremal smeared branes in string theory. We also comment on instabilities of D-brane bound states. The connection between classical and thermodynamic stability, known as the correlated stability conjecture, is also reviewed and illustrated with examples. Finally, we examine the holographic implications of the Gregory-Laflamme instability for a number of nongravitational theories including Yang-Mills theories and Little String Theory.

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Little string theories on curved manifolds

Aharony

Evtikhiev

Feldman

2019

J. High Energ. Phys.

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In this paper, we study the 6d Little String Theory (LST) (the decoupled theory on the worldvolume of N NS5-branes) on curved manifolds, by using its holographic duality to Type II string theory in asymptotically linear dilaton backgrounds. We focus on backgrounds with a large number of Killing vectors (namely, products of maximally symmetric spaces), without requiring supersymmetry (we do not turn on any background fields except the metric). LST is non-local so it is not obvious which spaces it can be defined on; we show that holography implies that the theory cannot be put on negatively curved spaces, but only on spaces with zero or positive curvature. For example, one cannot put LST on a product of an anti-de Sitter space times another space, without turning on extra background fields. On spaces with positive curvature, such as S 6 , R 2 × S 4 , S 3 × S 3 , etc., we typically find (for large N ) dual holographic backgrounds which are weakly coupled and weakly curved everywhere, so that they can be well-described by Type II supergravity. In some cases more than one smooth solution exists for LST on the same space, and they all contribute to the partition function. We also study the thermodynamical properties of LST compactified on spheres, finding the leading correction to the Hagedorn behavior of the spectrum, which is different on curved space than on flat space. We discuss the holographic renormalization procedure, which must be implemented in order to get a finite free energy for the LST; we do not know how to implement it for general spaces, but we can (and we do) implement it for the theory compactified on S 4 .

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Thermodynamics of the near-extremal NS5-brane

Cited by 9 publications

References 48 publications

Three-charge black holes on a circle

Three-charge black holes on a circle

Instabilities of black strings and branes

Little string theories on curved manifolds

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