341 research outputs found
Towards a Realization of the Condensed-Matter/Gravity Correspondence in String Theory via Consistent Abelian Truncation
We present an embedding of the 3-dimensional relativistic Landau-Ginzburg
model for condensed matter systems in an ,
Chern-Simons-matter theory (the ABJM model) by consistently truncating the
latter to an abelian effective field theory encoding the collective dynamics of
of the modes. In fact, depending on the VEV on
one of the ABJM scalars, a mass deformation parameter and the
Chern-Simons level number , our abelianization prescription allows us to
interpolate between the abelian Higgs model with its usual multi-vortex
solutions and a theory. We sketch a simple condensed matter model that
reproduces all the salient features of the abelianization. In this context, the
abelianization can be interpreted as giving a dimensional reduction from four
dimensions.Comment: 4 pages, revtex; reference added, typo corrected; added clarifying
paragraphs at end of introduction and on pages 3-4. Version accepted to PR
Diffusion in an Expanding Plasma using AdS/CFT
We consider the diffusion of a non-relativistic heavy quark of fixed mass M,
in a one-dimensionally expanding and strongly coupled plasma using the AdS/CFT
duality. The Green's function constructed around a static string embedded in a
background with a moving horizon, is identified with the noise correlation
function in a Langevin approach. The (electric) noise decorrelation is of order
1/T(\tau) while the velocity de-correlation is of order MD(\tau)/T(\tau). For
MD>1, the diffusion regime is segregated and the energy loss is Langevin-like.
The time dependent diffusion constant D(\tau) asymptotes its adiabatic limit
2/\pi\sqrt{\lambda} T(\tau) when \tau/\tau_0=(1/3\eta_0\tau_0)^3 where \eta_0
is the drag coefficient at the initial proper time \tau_0.Comment: 19 pages, 2 figures, minor corrections, version to appear in JHE
Abelian-Higgs and Vortices from ABJM: towards a string realization of AdS/CMT
We present ans\"{a}tze that reduce the mass-deformed ABJM model to gauged
Abelian scalar theories, using the fuzzy sphere matrices . One such
reduction gives a Toda system, for which we find a new type of nonabelian
vortex. Another gives the standard Abelian-Higgs model, thereby allowing us to
embed all the usual (multi-)vortex solutions of the latter into the ABJM model.
By turning off the mass deformation at the level of the reduced model, we can
also continuously deform to the massive theory in the massless ABJM
case. In this way we can embed the Landau-Ginzburg model into the AdS/CFT
correspondence as a consistent truncation of ABJM. In this context, the mass
deformation parameter and a field VEV act as and
respectively, leading to a well-motivated AdS/CMT construction from string
theory. To further this particular point, we propose a simple model for the
condensed matter field theory that leads to an approximate description for the
ABJM abelianization. Finally, we also find some BPS solutions to the
mass-deformed ABJM model with a spacetime interpretation as an M2-brane ending
on a spherical M5-brane.Comment: 43 pages, latex, explanations added in the introduction, end of
section 4, and on page 2
Quark-Gluon Plasma/Black Hole duality from Gauge/Gravity Correspondence
The Quark-Gluon Plasma (QGP) is the QCD phase of matter expected to be formed
at small proper-times in the collision of heavy-ions at high energy.
Experimental observations seem to favor a strongly coupled QCD plasma with the
hydrodynamic properties of a quasi-perfect fluid, i.e. rapid thermalization (or
isotropization) and small viscosity. The theoretical investigation of such
properties is not obvious, due to the the strong coupling. The Gauge/Gravity
correspondence provides a stimulating framework to explore the strong coupling
regime of gauge theories using the dual string description. After a brief
introduction to Gauge/Gravity duality, and among various existing studies, we
focus on challenging problems of QGP hydrodynamics, such as viscosity and
thermalization, in terms of gravitational duals of both the static and
relativistically evolving plasma. We show how a Black Hole geometry arises
naturally from the dual properties of a nearly perfect fluid and explore the
lessons and prospects one may draw for actual heavy ion collisions from the
Gauge/Gravity duality approach.Comment: 6 pages, 4 figures, invited talk at the EPS HEP 2007 Conference,
Manchester (UK), and at the ``Deuxiemes rencontres PQG-France'', Etretat
(2007); reference adde
A Trouble with Ho\v{r}ava-Lifshitz Gravity
We study the structure of the phase space in Ho\v{r}ava-Lifshitz theory. With
the constraints derived from the action, the phase space is described by five
fields, thus there is a lack of canonical structure. The Poisson brackets of
the Hamiltonian density do not form a closed structure, resulting in many new
constraints. Taking these new constraints into account, it appears that there
is no degree of freedom left, or the phase space is reduced to one with an odd
number of fields.Comment: 12 pages, some discussions, comments and references added, JHEP styl
Correspondence principle for a brane in Minkowski space and vector mesons
We consider a 3-brane of positive cosmological constant (de Sitter) in
D-dimensional Minkowski space. We show that the Poincare algebra in the bulk
yields a SO(4,2) algebra when restricted to the brane. In the limit of zero
cosmological constant (flat brane), this algebra turns into the conformal
algebra on the brane. We derive a correspondence principle for Minkowski space
analogous to the AdS/CFT correspondence. We discuss explicitly the cases of
scalar and gravitational fields. For a 3-brane of finite thickness in the
transverse directions, we obtain a spectrum for vector gravitational
perturbations which correspond to vector mesons. The spectrum agrees with the
one obtained in truncated AdS space by de Teramond and Brodsky provided D=10
and the bulk mass scale M is of order the geometric mean of the Planck mass
() on the brane and ( GeV).Comment: 8 pages in two-column ReVTeX
Five-dimensional SYM from undeformed ABJM
We expand undeformed ABJM theory around the vacuum solution that was found in
arxiv:0909.3101. This solution can be interpreted as a circle-bundle over a
two-dimensional plane with a singularity at the origin. By imposing periodic
boundary conditions locally far away from the singularity, we obtain a local
fuzzy two-torus over which we have a circle fibration. By performing
fluctuation analysis we obtain five-dimensional SYM with the precise value on
the coupling constant that we would obtain by compactifying multiple M5 branes
on the vacuum three-manifold. In the resulting SYM theory we also find a
coupling to a background two-form.Comment: 23 page
Taxonomy Induction using Hypernym Subsequences
We propose a novel, semi-supervised approach towards domain taxonomy
induction from an input vocabulary of seed terms. Unlike all previous
approaches, which typically extract direct hypernym edges for terms, our
approach utilizes a novel probabilistic framework to extract hypernym
subsequences. Taxonomy induction from extracted subsequences is cast as an
instance of the minimumcost flow problem on a carefully designed directed
graph. Through experiments, we demonstrate that our approach outperforms
stateof- the-art taxonomy induction approaches across four languages.
Importantly, we also show that our approach is robust to the presence of noise
in the input vocabulary. To the best of our knowledge, no previous approaches
have been empirically proven to manifest noise-robustness in the input
vocabulary
The Plasma Puddle as a Perturbative Black Hole
We argue that the weak coupling regime of a large N gauge theory in the Higgs
phase contains black hole-like objects. These so-called ``plasma puddles'' are
meta-stable lumps of hot plasma lying in locally un-Higgsed regions of space.
They decay via O(1/N) thermal radiation and, perhaps surprisingly, absorb all
incident matter. We show that an incident particle of energy E striking the
plasma puddle will shower into an enormous number of decay products whose
multiplicity grows linearly with E, and whose average energy is independent of
E. Once these ultra-soft particles reach the interior they are thermalized by
the plasma within, and so the object appears ``black.'' We determine some gross
properties like the size and temperature of the the plasma puddle in terms of
fundamental parameters in the gauge theory. Interestingly, demanding that the
plasma puddle emit thermal Hawking radiation implies that the object is black
(i.e. absorbs all incident particles), which implies classical stability, which
implies satisfaction of the Bekenstein entropy bound. Because of the AdS/CFT
duality and the many similarities between plasma puddles and black holes, we
conjecture that black objects are a robust feature of quantum gravity.Comment: 23 pages, 3 figures, V2: minor changes, ref added, appendix A.5 moved
to body of pape
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