66 research outputs found
Holographic bulk reconstruction beyond (super)gravity
We outline a holographic recipe to reconstruct corrections to AdS
(quantum) gravity from an underlying CFT in the strictly planar limit
(). Assuming that the boundary CFT can be solved in
principle to all orders of the 't Hooft coupling , for scalar primary
operators, the expansion of the conformal dimensions can be
mapped to higher curvature corrections of the dual bulk scalar field action.
Furthermore, for the metric pertubations in the bulk, the AdS/CFT
operator-field isomorphism forces these corrections to be of the Lovelock type.
We demonstrate this by reconstructing the coefficient of the leading Lovelock
correction, aka the Gauss-Bonnet term in a bulk AdS gravity action using the
expression of stress-tensor two-point function up to sub-leading order in
.Comment: 19 pages, typos corrected, published version (journal version title
is different
Black Hole Formation in Fuzzy Sphere Collapse
We study the collapse of a fuzzy sphere, that is a spherical membrane built
out of D0-branes, in the BFSS model. At weak coupling, as the sphere shrinks,
open strings are produced. If the initial radius is large then open string
production is not important and the sphere behaves classically. At intermediate
initial radius the back-reaction from open string production is important but
the fuzzy sphere retains its identity. At small initial radius the sphere
collapses to form a black hole. The crossover between the later two regimes is
smooth and occurs at the correspondence point of Horowitz and Polchinski.Comment: 27 pages, LaTeX, 2 figures. v2: additional reference
An AdS/EFT correspondence at large charge
Considering theories in sectors of large global charge results in a
semiclassical effective field theory (EFT) description for some
strongly-coupled conformal field theories (CFTs) with continuous global
symmetries. Hence, when studying dualities at large charge, we can have control
over the strongly coupled side of the duality and gain perturbative access to
both dual pairs. In this work we discuss the AdS/CFT correspondence in the
regime where both the EFT and gravity descriptions are valid
and stable ( being the central charge). We present the observation that
the ground state energy as a function of the Abelian charge for a simple
EFT in some three-dimensional CFT coincides with the expression for the mass of
an anti-de Sitter-Reissner-Nordstr\"om black hole as a function of its charge.
This observation allows us to introduce a dictionary relating CFT, EFT and
holographic descriptions. We also find agreement for the higher-derivative
corrections on both sides, suggesting a large- expansion on the EFT side.Comment: 23 pages. Matches published version in Nucl.Phys.
Black Hole Formation at the Correspondence Point
We study the process of bound state formation in a D-brane collision. We
consider two mechanisms for bound state formation. The first, operative at weak
coupling in the worldvolume gauge theory, is pair creation of W-bosons. The
second, operative at strong coupling, corresponds to formation of a large black
hole in the dual supergravity. These two processes agree qualitatively at
intermediate coupling, in accord with the correspondence principle of Horowitz
and Polchinski. We show that the size of the bound state and timescale for
formation of a bound state agree at the correspondence point. The timescale
involves matching a parametric resonance in the gauge theory to a quasinormal
mode in supergravity.Comment: 29 pages, 5 figures. v2: minor improvements, additional reference,
version to appear in PR
Firewalls as artefacts of inconsistent truncations of quantum geometries
In this paper we argue that a firewall is simply a manifestation of an inconsistent truncation of non-perturbative effects that unitarize the semiclassical black hole. Namely, we show that a naive truncation of quantum corrections to the Hawking spectrum at order O(e−S), inexorably leads to a 'localised'' divergent energy density near the black hole horizon. Nevertheless, in the same approximation, a distant observer only sees a discretised spectrum and concludes that unitarity is achieved by O(e−S) effects. This is due to the fact that instead, the correct quantum corrections to the Hawking spectrum go like O(gtte−S). Therefore, while at a distance far away from the horizon, where gtt≈1, quantum corrections {\it are} perturbative, they {\it do} diverge close to the horizon, where gtt→∞. Nevertheless, these 'corrections' nicely re-sum so that correlations functions are smooth at the would-be black hole horizon. Thus, we conclude that the appearance of firewalls is just a signal of the breaking of the semiclassical approximation at the Page time, even for large black holes
Holographic Representation of Higher Spin Gauge Fields
Extending the results of \cite{Heem}, \cite{KLRS} on the holographic
representation of local gauge field operators in anti de Sitter space, here we
construct the bulk operators for higher spin gauge fields in the leading order
of expansion. Working in holographic gauge for higher spin gauge
fields, we show that gauge field operators with integer spin can be
represented by an integration over a ball region, which is the interior region
of the spacelike bulk lightcone on the boundary. The construction is shown to
be AdS-covariant up to gauge transformations, and the two-point function
between higher spin gauge fields and boundary higher spin current exhibit
singularities on both bulk and boundary lightcones. We also comment on possible
extension to the level of three-point functions and carry out a causal
construction for higher spin fields in de Sitter spacetime.Comment: Version 2. 22 pages, no figures. Some clarifications, comments and
references added over version 1. Journal versio
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