Smeared branes and the Gubser-Mitra conjecture

Bostock, Paul; Ross, Simon F.

doi:10.1103/physrevd.70.064014

Cited by 20 publications

(43 citation statements)

References 24 publications

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“…Thus, we can add D0-brane charge to any case studied in Reall's argument 'for free'. Assuming the Gregory-Laflamme instabilities are the only unstable modes of the dynamical system, this enables us to predict the stability boundary for these solutions: in particular, it implies it is independent of the boost parameter determining the D0-brane charge, as in [9]. For the D2-D0 case, the stability boundary we find in this way agrees with that found in [10].…”

Section: Introductionsupporting

confidence: 79%

“…We will show that there is a straightforward extension to the case where the smeared charge is a D0-brane charge (that is, an electric two-form charge). Strings carrying a D0-brane charge were first considered in [9], and we will build on insights from that work. The case of 2-branes carrying both D2 and D0-brane charges was considered in [10], where the dynamical stability boundary was computed numerically, and shown to agree with thermodynamic stability.…”

Section: Introductionmentioning

confidence: 99%

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Smeared D0 charge and the Gubser–Mitra conjecture

Ross¹,

Wiseman²

2005

Class. Quantum Grav.

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We relate a Dp or NS-brane with D0-brane charge smeared over its worldvolume to the system with no D0-charge. This allows us to generalise Reall's partial proof of the Gubser-Mitra conjecture. We show explicitly for specific examples that the dynamical instability coincides with thermodynamic instability in the ensemble where the D0-brane charge can vary. We also comment on consistency checks of the conjecture for more complicated systems, using the example of the D4 with F1 and D0 charges smeared on its worldvolume.

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Section: Introductionsupporting

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Smeared D0 charge and the Gubser–Mitra conjecture

Ross¹,

Wiseman²

2005

Class. Quantum Grav.

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“…The uniform phase of near-extremal NS5-branes is classically unstable for energies below the critical energy E c [40,41,7,42,43]. In this regime the background is expected to decay to the localized phase corresponding to near-extremal M5-branes localized on a circle.…”

Section: Ns5-brane Phases From Kaluza-klein Black Holesmentioning

confidence: 99%

Thermodynamics of the near-extremal NS5-brane

Harmark¹,

Obers²

2006

Nuclear Physics B

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We consider the thermodynamics of the near-extremal NS5-brane in type IIA string theory. The central tool we use is to map phases of six-dimensional Kaluza-Klein black holes to phases of near-extremal M5-branes with a transverse circle in eleven-dimensional supergravity. By S-duality these phases correspond to phases of the near-extremal type IIA NS5-brane. One of our main results is that in the canonical ensemble the usual nearextremal NS5-brane background, dual to a uniformly smeared near-extremal M5-brane, is subdominant to a new background of near-extremal M5-branes localized on the transverse circle. This new stable phase has a limiting temperature, which lies above the Hagedorn temperature of the usual NS5-brane phase. We discuss the limiting temperature and compare the different behavior of the NS5-brane in the canonical and microcanonical ensembles. We also briefly comment on the thermodynamics of near-extremal Dp-branes on a transverse circle.

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“…A reason to be particularly interested in the GL instability for the near -extremal D2-D0 bound state is that it interpolates between near -extremal D2-branes, for which it is known there is no instability [5] and near-extremal smeared D0-branes, for which it has been argued that there is a GL instability [6,7,8]. The interpolation itself is interesting: the dynamics of the bound state has been argued to correspond to non-commutative field theory (NCFT) [9].…”

Section: Jhep02(2005)040mentioning

confidence: 99%

The Gregory-Laflamme instability for the D2–D0 bound state

Gubser

2005

J. High Energy Phys.

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The D2-D0 bound state exhibits a Gregory-Laflamme instability when it is sufficiently non-extremal. If there are no D0-branes, the requisite non-extremality is finite. When most of the extremal mass comes from D0-branes, the requisite non-extremality is very small. The location of the threshold for the instability is determined using a local thermodynamic analysis which is then checked against a numerical analysis of the linearized equations of motion. The thermodynamic analysis reveals an instability of non-commutative field theory at finite temperature, which may occur only at very long wavelengths as the decoupling limit is approached.

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Smeared branes and the Gubser-Mitra conjecture

Cited by 20 publications

References 24 publications

Smeared D0 charge and the Gubser–Mitra conjecture

Smeared D0 charge and the Gubser–Mitra conjecture

Thermodynamics of the near-extremal NS5-brane

The Gregory-Laflamme instability for the D2–D0 bound state

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