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1999

M theory

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Full-Text Articles in Physics

Black Holes And Five-Brane Thermodynamics, Emil Martinec, Vatche Sahakian Aug 1999

Black Holes And Five-Brane Thermodynamics, Emil Martinec, Vatche Sahakian

All HMC Faculty Publications and Research

The phase diagram for Dp-branes in M theory compactified on T4,T4/Z2,T5, and T6 is constructed. As for the lower-dimensional tori considered in our previous work [E. Martinec and V. Sahakian, Phys. Rev. D 59, 124005 (1999)], 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 T6 are reviewed. We also analyze the D1-D5 system on T5; we discuss its relation to matrix models …


Black Holes And The Sym Diagram. Ii, Emil Martinec, Vatche Sahakian May 1999

Black Holes And The Sym Diagram. Ii, Emil Martinec, Vatche Sahakian

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The complete phase diagram of objects in M theory compactified on tori Tp,p=1,2,3, is elaborated. Phase transitions occur when the object localizes on cycle(s) (the Gregory-Laflamme transition), or when the area of the localized part of the horizon becomes one in string units (the Horowitz-Polchinski correspondence point). The low-energy, near-horizon geometry that governs a given phase can match onto a variety of asymptotic regimes. The analysis makes it clear that the matrix conjecture is a special case of the Maldacena conjecture.


Black Holes And The Sym Phase Diagram, Miao Li, Emil Martinec, Vatche Sahakian Jan 1999

Black Holes And The Sym Phase Diagram, Miao Li, Emil Martinec, Vatche Sahakian

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Making combined use of the matrix and Maldacena conjectures, the relation between various thermodynamic transitions in super Yang-Mills (SYM) theory and supergravity is clarified. The thermodynamic phase diagram of an object in DLCQ M theory in four and five non-compact space dimensions is constructed; matrix strings, matrix black holes, and black p-branes are among the various phases. Critical manifolds are characterized by the principles of correspondence and longitudinal localization, and a triple point is identified. The microscopic dynamics of the matrix string near two of the transitions is studied; we identify a signature of black hole formation from SYM physics.