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Full-Text Articles in Physics
Holography, A Covariant C Function, And The Geometry Of The Renormalization Group, Vatche Sahakian
Holography, A Covariant C Function, And The Geometry Of The Renormalization Group, Vatche Sahakian
All HMC Faculty Publications and Research
We propose a covariant geometrical expression for the c function for theories which admit dual gravitational descriptions. We state a c theorem with respect to this quantity and prove it. We apply the expression to a class of geometries, from domain walls in gauged supergravities, to extremal and near extremal Dp-branes, and the AdS Schwarzschild black hole. In all cases, we find agreement with expectations.
Black Holes And Five-Brane Thermodynamics, Emil Martinec, Vatche Sahakian
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 …