Vatche Sahakian

Black Holes and the SYM Phase Diagram

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. {copyright} {ital 1999} {ital The American Physical Society}

Holography, a covariant c function, and the geometry of the renormalization group

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

Black holes and the SYM phase diagram. II

\mathrm{D}p

Black Holes and Five-brane Thermodynamics

-branes, and the AdS Schwarzschild black hole. In all cases, we find agreement with expectations.

Transcribing Spacetime Data into Matrices

The complete phase diagram of objects in M-theory compactified on tori

Scrambling with Matrix Black Holes

T^p

The large M limit of non-commutative open strings at strong coupling

,

New mechanism for nonlocality from string theory: UV-IR quantum entanglement and its imprints on the CMB

p=1,2,3

On D0 Brane Polarization by Tidal Forces

, 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.

From black hole to qubits: evidence of fast scrambling in BMN theory

The phase diagram for Dp-branes in M theory compactified on T[sup 4],T[sup 4]/Z[sub 2],T[sup 5], and T[sup 6] is constructed. As for the lower-dimensional tori considered in our previous work [E. Martinec and V. Sahakian, Phys. Rev. D [bold 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 T[sup 6] are reviewed. We also analyze the D1-D5 system on T[sup 5]; we discuss 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. [copyright] [ital 1999] [ital The American Physical Society]