Warm p -soup and near extremal black holes

Abstract

Abstract:We consider a model of D-dimensional supergravity coupled to elementary p-branes. We use gravitational arguments to deduce the low energy effective theory of N nearly parallel branes. This is a (p+1)-dimensional scalar field theory, where the scalars represent the positions of the branes in their transverse space. We propose that the same theory in a certain temperature regime describes a 'soup' of strongly interacting branes, giving a microscopic description of near extremal black p-branes. We use natural approximations to estimate the energy density of this soup as a function of the physical parameters; N , temperature, brane tension and gravitational coupling. We also characterise the horizon radius, measured in the metric natural to the branes, with the thermal vev of the scalars. For both quantities we find agreement with the corresponding supergravity black brane results. Surprisingly, beyond the physical parameters, we are naturally able to reproduce certain irrational factors such as π's. We comment on how these ideas may explain why black hole thermodynamics arises in gauge theories with holographic duals at finite temperature.arXiv:1311.6540v1 [hep-th]

Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N

“…Furthermore it allows not only the behaviour of the energy density to be found, but also predicts the behaviour of other observables, such as the Polyakov-Maldacena loop. In addition, the moduli effective theory reproduces not only the dynamics of the dual Dpbranes as discussed in [35], but also encodes correctly the dynamics of the M2, M5, F1 and NS5 branes that are dual in certain parameter regimes.…”

“…8 The virialised state exhibits a low energy scale invariance at strong coupling, governed by the leading terms at all loop orders. As noted in [35], the classical and one-loop leading terms scale covariantly under the rigid transformation,…”

“…At finite temperature we argued in [35] that as usual for an interacting thermal system it should obey a virial relation, where the dynamics due to the leading two derivative kinetic term is balanced by the interaction terms. This assumes a good thermal vacuum exists and does not apply to the case where it is simply dominated by the leading free two derivative terms.…”

“…A new development was made in [35], where it was argued that for any black pbrane system, by constructing a field theory derived from considering the dynamics of nearly parallel branes weakly interacting gravitationally, then naive thermal estimates at strong coupling would yield the entire dependence on all physical parameters of the energy density, and further related the vevs of scalars in the field theory to the horizon radius of the black brane. Rather mysteriously it also allows certain transcendental factors with a geometric origin to be deduced.…”

“…We call these the 'leading' contributions [35]. By this we mean the lowest derivative terms at each loop order of the non-thermal corrections.…”