27,705 research outputs found
Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature
Mack has conjectured that all conformal field theories are equivalent to
string theories. We explore the example of the two-dimensional minimal model
CFTs and confirm that the Mellin transformed amplitudes have the desired
properties of string theory in three-dimensional anti-de Sitter spacetime.Comment: 7 page
Statistical entropy of two-dimensional dilaton de Sitter space
It has been proposed that a quantum group structure underlies de
Sitter/Conformal field theory duality. These ideas are used to give a
microscopic operator counting interpretation for the entropy of two-dimensional
dilaton de Sitter space. This agrees with the Bekenstein-Hawking entropy up to
a factor of order unity.Comment: 12 pages, 1 figure, revtex
Comments on a Covariant Entropy Conjecture
Recently Bousso conjectured the entropy crossing a certain light-like
hypersurface is bounded by the surface area. We point out a number of
difficulties with this conjecture.Comment: 7 pages, 2 figures, harvmac, eps
Renormalization Group Flows from Gravity in Anti-de Sitter Space versus Black Hole No-Hair Theorems
Black hole no-hair theorems are proven using inequalities that govern the
radial dependence of spherically symmetric configurations of matter fields. In
this paper, we analyze the analogous inequalities for geometries dual to
renormalization group flows via the AdS/CFT correspondence. These inequalities
give much useful information about the qualitative properties of such flows.
For Poincare invariant flows, we show that generic flows of relevant or
irrelevant operators lead to singular geometries. For the case of irrelevant
operators, this leads to an apparent conflict with Polchinski's decoupling
theorem, and we offer two possible resolutions to this problem.Comment: 13 pages, 3 figures, harvmac, epsf, references and comments adde
Conformal Models of Two-Dimensional Turbulence
Polyakov recently showed how to use conformal field theory to describe
two-dimensional turbulence. Here we construct an infinite hierarchy of
solutions, both for the constant enstrophy flux cascade, and the constant
energy flux cascade. We conclude with some speculations concerning the
stability and physical meaning of these solutions.Comment: 17 pages, PUPT-1362, uses harvmac and tables.tex (minor typos
corrected
Eleven-Dimensional Lorentz Symmetry from SUSY Quantum Mechanics
The supermembrane in light-cone gauge gives rise to a supersymmetric quantum
mechanics system with SU(N) gauge symmetry when the group of area preserving
diffeomorphisms is suitably regulated. de Wit, Marquard and Nicolai showed how
eleven-dimensional Lorentz generators can be constructed from these degrees of
freedom at the classical level. In this paper, these considerations are
extended to the quantum level and it is shown the algebra closes to leading
nontrivial order at large N. A proposal is made for extending these results to
Matrix theory by realizing longitudinal boosts as large N renormalization group
transformations.Comment: 16 pages, harvma
Constraints on Higher Derivative Operators in the Matrix Theory Effective Lagrangian
The consistency of Matrix theory with supergravity requires that in the large
N_c limit terms of order v^4 in the SU(N_c) Matrix effective potential are not
renormalized beyond one loop in perturbation theory. For SU(2) gauge group, the
required non-renormalization theorem was proven recently by Paban, Sethi and
Stern. In this paper we consider the constraints supersymmetry imposes on these
terms for groups SU(N_c) with N_c>2. Non-renormalization theorems are proven
for certain tensor structures, including the structures that appear in the
one-loop effective action. However it is expected other tensor structures can
in general be present, which may suffer renormalization at three loops and
beyond.Comment: 10 pages, harvmac, (Some equations corrected. Conclusions unchanged.
Black hole holography and mean field evolution
Holographic theories representing black holes are expected to exhibit quantum
chaos. We argue if the laws of quantum mechanics are expected to hold for
observers inside such black holes, then such holographic theories must have a
mean field approximation valid for typical black hole states, and for
timescales approaching the scrambling time. Using simple spin models as
examples, we examine the predictions of such an approach for observers inside
black holes, and more speculatively inside cosmological horizons.Comment: 11 pages, 5 figure
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