115 research outputs found
Fast Scramblers Of Small Size
We investigate various geometrical aspects of the notion of `optical depth'
in the thermal atmosphere of black hole horizons. Optical depth has been
proposed as a measure of fast-crambling times in such black hole systems, and
the associated optical metric suggests that classical chaos plays a leading
role in the actual scrambling mechanism. We study the behavior of the optical
depth with the size of the system and find that AdS/CFT phase transitions with
topology change occur naturally as the scrambler becomes smaller than its
thermal length. In the context of detailed AdS/CFT models based on D-branes,
T-duality implies that small scramblers are described in terms of matrix
quantum mechanics.Comment: 14 pages, 3 figures. Added reference
The operator algebra of the discrete state operators in 2D gravity with non-vanishing cosmological constant
Remarks are given to the structure of physical states in 2D gravity coupled
to matter. The operator algebra of the discrete state operators is
calculated for the theory with non-vanishing cosmological constant.Comment: 17 page
Particle Production near an AdS Crunch
We numerically study the dual field theory evolution of five-dimensional
asymptotically anti-de Sitter solutions of supergravity that develop
cosmological singularities. The dual theory is an unstable deformation of the N
= 4 gauge theory on R S3, and the big crunch singularity in the bulk
occurs when a boundary scalar field runs to infinity. Consistent quantum
evolution requires one imposes boundary conditions at infinity. Modeling these
by a steep regularization of the scalar potential, we find that when an
initially nearly homogeneous wavepacket rolls down the potential, most of the
potential energy of the initial configuration is converted into gradient energy
during the first oscillation of the field. This indicates there is no
transition from a big crunch to a big bang in the bulk for dual boundary
conditions of this kind.Comment: 20 pages, 6 figure
Inflation with Non-minimal Gravitational Couplings and Supergravity
We explore in the supergravity context the possibility that a Higgs scalar
may drive inflation via a non-minimal coupling to gravity characterised by a
large dimensionless coupling constant. We find that this scenario is not
compatible with the MSSM, but that adding a singlet field (NMSSM, or a variant
thereof) can very naturally give rise to slow-roll inflation. The inflaton is
necessarily contained in the doublet Higgs sector and occurs in the D-flat
direction of the two Higgs doublets.Comment: 13 pages, 1 figur
Special limits and non-relativistic solutions
We study special vanishing horizon limit of `boosted' black D3-branes having
a compact light-cone direction. The type IIB solution obtained by taking such a
zero temperature limit is found to describe a nonrelativistic system with
dynamical exponent 3. We discuss about such limits in M2-branes case also.Comment: 10 pages; V2: various changes in interpretations including title; no
change in mathematical results, V3: minor font typo in eq.(7) remove
Comment on Higgs Inflation and Naturalness
We rebut the recent claim (arXiv:0912.5463) that Einstein-frame scattering in
the Higgs inflation model is unitary above the cut-off energy Lambda ~ Mp/xi.
We show explicitly how unitarity problems arise in both the Einstein and Jordan
frames of the theory. In a covariant gauge they arise from non-minimal Higgs
self-couplings, which cannot be removed by field redefinitions because the
target space is not flat. In unitary gauge, where there is only a single scalar
which can be redefined to achieve canonical kinetic terms, the unitarity
problems arise through non-minimal Higgs-gauge couplings.Comment: 5 pages, 1 figure V3: Journal Versio
Holography of AdS vacuum bubbles
We consider the fate of AdS vacua connected by tunneling events. A precise
holographic dual of thin-walled Coleman--de Luccia bounces is proposed in terms
of Fubini instantons in an unstable CFT. This proposal is backed by several
qualitative and quantitative checks, including the precise calculation of the
instanton action appearing in evaluating the decay rate. Big crunches manifest
themselves as time dependent processes which reach the boundary of field space
in a finite time. The infinite energy difference involved is identified on the
boundary and highlights the ill-defined nature of the bulk setup. We propose a
qualitative scenario in which the crunch is resolved by stabilizing the CFT, so
that all attempts at crunching always end up shielded from the boundary by the
formation of black hole horizons. In all these well defined bulk processes the
configurations have the same asymptotics and are finite energy excitations.Comment: version submitted to journal. Note added referring to previous work
on holographic instantons
The particle number in Galilean holography
Recently, gravity duals for certain Galilean-invariant conformal field
theories have been constructed. In this paper, we point out that the spectrum
of the particle number operator in the examples found so far is not a necessary
consequence of the existence of a gravity dual. We record some progress towards
more realistic spectra. In particular, we construct bulk systems with
asymptotic Schrodinger symmetry and only one extra dimension. In examples, we
find solutions which describe these Schrodinger-symmetric systems at finite
density. A lift to M-theory is used to resolve a curvature singularity. As a
happy byproduct of this analysis, we realize a state which could be called a
holographic Mott insulator.Comment: 29 pages, 1 rudimentary figure; v2: typo in eqn (3.4), added comments
and ref
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