Black Holes and Five-brane Thermodynamics

Abstract

The phase diagram for Dp-branes in M-theory compactified on $T^4$, $T^4/Z_2$, $T^5$, and $T^6$ is constructed. As for the lower-dimensional tori considered in our previous work (hep-th/9810224), the black brane phase at high entropy connects onto matrix theory at low entropy; we thus recover all known instances of matrix theory as consequences of the Maldacena conjecture. The difficulties that arise for $T^6$ are reviewed. We also analyze the D1-D5 system on $T^5$; we exhibit its relation to matrix models of M5-branes, and use spectral flow as a tool to investigate the dependence of the phase structure on angular momentum.

57 pages, 6 eps figures, latex. v2: DLCQ limit of 5-brane corrected; typos corrected, references added. v3: reference added, typos corrected v4: comments on DLCQ limit of 5-brane corrected one last time. Final version, to appear in Phys. Rev. D

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• Instanton Strings and HyperKaehler Geometry
• Comments on Black Holes in String Theory
• String Theory in Magnetic Monopole Backgrounds
• Note on the Quantum Mechanics of M Theory
• Black Holes and the Super Yang-Mills diagram. II
• Microcanonical Phases of String Theory on AdS_m x S^n
• AdS_7/CFT_6 Correspondence and Matrix Models of M5-Branes

Cited by in corpus (16)

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• A Black Hole Farey Tail
• Black hole bound states in AdS_3 x S^2
• Exciting AdS Orbifolds
• Near Hagedorn Dynamics of NS Fivebranes, or A New Universality Class of Coiled Strings
• Little Strings, Long Strings, and Fuzzballs
• A note on supersymmetric Yang-Mills thermodynamics
• The fuzzball nature of two-charge black hole microstates
• Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering
• Microstate geometries at a generic point in moduli space
• Non-Supersymmetric String Theory
• Black holes and thermodynamics of non-gravitational theories
• A note on the thermodynamics of `little string' theory
• AdS_3 Black Hole Entropy and the Spectral Flow on the Horizon
• Thermodynamics of Intersecting Black Branes from Interacting Elementary Branes