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arXiv · hep-th/0509011

Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture

T. Harmark·V. Niarchos·N. A. Obers
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Abstract

We consider the classical and local thermodynamic stability of non- and near-extremal Dp-branes smeared on a transverse direction. These two types of stability are connected through the correlated stability conjecture for which we give a proof in this specific class of branes. The proof is analogous to that of Reall for unsmeared branes, and includes the construction of an appropriate two-parameter off-shell family of smeared Dp-brane backgrounds. We use the boost/U-duality map from neutral black strings to smeared black branes to explicitly demonstrate that non-and near-extremal smeared branes are classically unstable, confirming the validity of the conjecture. For near-extremal smeared branes in particular, we show that a natural definition of the grand canonical ensemble exists in which these branes are thermodynamically unstable, in accord with the conjecture. Moreover, we examine the connection between the unstable Gregory-Laflamme mode of charged branes and the marginal modes of extremal branes. Some features of T-duality and implications for the finite temperature dual gauge theories are also discussed.

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T. Harmark, V. Niarchos, N. A. Obers. 2005-09-01. Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture. https://doi.org/10.1088/1126-6708%2F2005%2F10%2F045

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