5d Black holes, wrapped fivebranes and 3d Chern-Simons Super Yang-Mills

Abstract

We study extremal and non-extremal generalizations of the regular non-abelian solution found by Chamseddine and Volkov in 5d N=4 gauged supergravity, which has been shown by Maldacena and Nastase to describe a system of NS5-branes wrapping an three-sphere dual to three-dimensional U(N) N=1 supersymmetric Yang-Mills with Chern-Simons coupling k=N/2. All black hole solutions have a temperature larger than the Hagedorn temperature Tc of the little string theory and their entropy decreases as the temperature increases. This is a sign that the system is thermodynamically unstable above Tc. We have also found an analytical solution describing NS5-branes wrapped on a constant radius three-sphere and involving a linear dilaton. Its non-extremal generalization has a temperature equal to 2 Tc.

27 pages, 6 figures

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Cited by in corpus (9)

• Holography and Unquenched Quark-Gluon Plasmas
• The supergravity dual of 3d supersymmetric gauge theories with unquenched flavors
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• Notes on a SQCD-like plasma dual and holographic renormalization
• On the Universality Class of Certain String Theory Hadrons
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Stability of linear dilaton black holes at the Hagedorn temperature
• Nonabelian solutions in N=4, D=5 gauged supergravity
• Penrose limit of MNa solution and spin chains in three-dimensional field theories