611 research outputs found
The Fate of the Sound and Diffusion in Holographic Magnetic Field
It was shown in arXiv:0810.4094 [hep-th] that in the presence of the magnetic
field the sound waves in (2+1) dimensional plasma disappear and are replaces by
a diffusive mode. Similarly, the shear and charge diffusion fluctuations form a
subdiffusive mode. However, since the limit of small magnetic field does not
commute with the hydrodynamic limit it is not obvious whether or not these
modes are stable under higher order corrections. Using AdS/CFT correspondence
we show that in the case of M2-brane plasma these modes do exist as we find the
corresponding supergravity solutions. This allowed us to compute the
conductivity and the shear viscosity to all orders in magnetic field. We find
that the viscosity to entropy ratio saturates the Kovtun-Son-Starinets bound.
This extends the universality property of the shear viscosity to the case of
the strongly coupled plasma in external magnetic field.Comment: 23 pages; minor corrections, references adde
Gauge/gravity correspondence in accelerating universe
We discuss time-dependent backgrounds of type IIB supergravity realizing
gravitation duals of gauge theories formulated in de Sitter space-time as a
tool of embedding de Sitter in a supergravity. We show that only the
gravitational duals to non-conformal gauge theories are sensitive to a specific
value of a Hubble parameter. We consider two nontrivial solutions of this type:
a gravity dual to six-dimensional (1,1) little string theory, and to a
four-dimensional cascading SU(N+M)xSU(N) supersymmetric gauge theory (related
to fractional D3-branes on a singular conifold according to Klebanov et al), in
accelerating universe. In both cases we argue that the IR singularity of the
geometry is regulated by the expansion of the gauge theory background
space-time.Comment: 13 pages, harvmac, v2: reference added, v3: D3,NS5 discussion
improved, PRD versio
Gauge/string correspondence in curved space
We discuss Gubser-Klebanov-Polyakov proposal for the gauge/string theory
correspondence for gauge theories in curved space. Specifically, we consider
Klebanov-Tseytlin cascading gauge theory compactified on S^3. We explain regime
when this gauge theory is a small deformation of the superconformal N=1 gauge
theory on the world volume of regular D3-branes at the tip of the conifold. We
study closed string states on the leading Regge trajectory in this background,
and attempt to identify the dual gauge theory twist two operators.Comment: 26 pages, v2: refs adde
Dynamics of Fundamental Matter in N=2* Yang-Mills Theory
We study the dynamics of quenched fundamental matter in
supersymmetric large SU(N) Yang-Mills theory at zero temperature. Our tools
for this study are probe D7-branes in the holographically dual
Pilch-Warner gravitational background. Previous work using
D3-brane probes of this geometry has shown that it captures the physics of a
special slice of the Coulomb branch moduli space of the gauge theory, where the
constituent D3-branes form a dense one dimensional locus known as the
enhancon, located deep in the infrared. Our present work shows how this physics
is supplemented by the physics of dynamical flavours, revealed by the D7-branes
embeddings we find. The Pilch-Warner background introduces new divergences into
the D7-branes free energy, which we are able to remove with a single
counterterm. We find a family of D7-brane embeddings in the geometry and
discuss their properties. We study the physics of the quark condensate,
constituent quark mass, and part of the meson spectrum. Notably, there is a
special zero mass embedding that ends on the enhancon, which shows that while
the geometry acts repulsively on the D7-branes, it does not do so in a way that
produces spontaneous chiral symmetry breaking.Comment: 24 pages, 8 figures. Corrected typos, added comment about
counterterm. To appear in JHE
Higher Derivative Corrections to R-charged Black Holes: Boundary Counterterms and the Mass-Charge Relation
We carry out the holographic renormalization of Einstein-Maxwell theory with
curvature-squared corrections. In particular, we demonstrate how to construct
the generalized Gibbons-Hawking surface term needed to ensure a perturbatively
well-defined variational principle. This treatment ensures the absence of ghost
degrees of freedom at the linearized perturbative order in the
higher-derivative corrections. We use the holographically renormalized action
to study the thermodynamics of R-charged black holes with higher derivatives
and to investigate their mass to charge ratio in the extremal limit. In five
dimensions, there seems to be a connection between the sign of the higher
derivative couplings required to satisfy the weak gravity conjecture and that
violating the shear viscosity to entropy bound. This is in turn related to
possible constraints on the central charges of the dual CFT, in particular to
the sign of c-a.Comment: 30 pages. v2: references added, some equations simplifie
Thermal Dynamics of Quarks and Mesons in N=2* Yang-Mills Theory
We study the dynamics of quenched fundamental matter in
supersymmetric large Yang-Mills theory, extending our earlier
work to finite temperature. We use probe D7-branes in the holographically dual
thermalized generalization of the Pilch-Warner
gravitational background found by Buchel and Liu. Such a system provides an
opportunity to study how key features of the dynamics are affected by being in
a non-conformal setting where there is an intrinsic scale, set here by the
mass, , of a hypermultiplet. Such studies are motivated by connections to
experimental studies of the quark-gluon plasma at RHIC and LHC, where the
microscopic theory of the constituents, QCD, has a scale, .
We show that the binding energy of mesons in the theory is
increased in the presence of the scale , and that subsequently the
meson-melting temperature is higher than for the conformal case.Comment: 17 pages, 6 figure
Black Holes in Quasi-topological Gravity
We construct a new gravitational action which includes cubic curvature
interactions and which provides a useful toy model for the holographic study of
a three parameter family of four- and higher-dimensional CFT's. We also
investigate the black hole solutions of this new gravity theory. Further we
examine the equations of motion of quasi-topological gravity. While the full
equations in a general background are fourth-order in derivatives, we show that
the linearized equations describing gravitons propagating in the AdS vacua
match precisely the second-order equations of Einstein gravity.Comment: 33 pages, 4 figures; two references adde
Holographic GB gravity in arbitrary dimensions
We study the properties of the holographic CFT dual to Gauss-Bonnet gravity
in general dimensions. We establish the AdS/CFT dictionary and in
particular relate the couplings of the gravitational theory to the universal
couplings arising in correlators of the stress tensor of the dual CFT. This
allows us to examine constraints on the gravitational couplings by demanding
consistency of the CFT. In particular, one can demand positive energy fluxes in
scattering processes or the causal propagation of fluctuations. We also examine
the holographic hydrodynamics, commenting on the shear viscosity as well as the
relaxation time. The latter allows us to consider causality constraints arising
from the second-order truncated theory of hydrodynamics.Comment: 48 pages, 9 figures. v2: New discussion on free fields in subsection
3.3 and new appendix B on conformal tensor fields. Added comments on the
relation between the central charge appearing in the two-point function and
the "central charge" characterizing the entropy density in the discussion.
References adde
Hadronic Density of States from String Theory
Exactly soluble string theories describing a particular hadronic sector of
certain confining gauge theories have been obtained recently as Penrose-Gueven
limits of the dual supergravity backgrounds. The effect of taking the
Penrose-Gueven limit on the gravity side translates, in the gauge theory side,
into an effective truncation to hadrons of large U(1) charge (annulons). We
present an exact calculation of the finite temperature partition function for
the hadronic states corresponding to a Penrose-Gueven limit of the
Maldacena-Nunez embedding of N=1 SYM into string theory. It is established that
the theory exhibits a Hagedorn density of states.
Motivated by this exact calculation we propose a semiclassical string
approximation to the finite temperature partition function for confining gauge
theories admitting a supergravity dual, by performing an expansion around
classical solutions characterized by temporal windings. This semiclassical
approximation reveals a hadronic energy density of states of Hagedorn type,
with the coefficient determined by the gauge theory string tension as expected
for confining theories. We argue that our proposal captures primarily
information about states of pure N=1 SYM, given that this semiclassical
approximation does not entail a projection onto states of large U(1) charge.Comment: 15 page
Supersymmetry on AdS3 and AdS4
We consider a supersymmetric extension of the algebra associated with three
and four dimensional Anti de Sitter space. A representation of the
supersymmetry operators in superspace is given. Supersymmetry invariant models
are constructed for the superspace associated with AdS3.Comment: 14 pages, no figures. Final published version. Now includes a
discussion of the relation of our approach to previous work on supersymmetry
in AdS space
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