585 research outputs found
Supersymmetric hydrodynamics from the AdS/CFT correspondence
We compute holographically the dispersion relation for a hydrodynamic mode of
fluctuation (the phonino) of the density of supersymmetry current in N = 4 SYM
at strong coupling. The mode appears as a pole at low frequency and momentum in
the correlator of supercurrents. It has a wave-like propagation, and we find
its speed and coefficient of attenuation.Comment: 17 page
Super-Chern-Simons Theory as Superstring Theory
Superstrings and topological strings with supermanifolds as target space play
a central role in the recent developments in string theory. Nevertheless the
rules for higher-genus computations are still unclear or guessed in analogy
with bosonic and fermionic strings. Here we present a common geometrical
setting to develop systematically the prescription for amplitude computations.
The geometrical origin of these difficulties is the theory of integration of
superforms. We provide a translation between the theory of supermanifolds and
topological strings with supertarget space. We show how in this formulation one
can naturally construct picture changing operators to be inserted in the
correlation functions to soak up the zero modes of commuting ghost and we
derive the amplitude prescriptions from the coupling with an extended
topological gravity on the worldsheet. As an application we consider a simple
model on R^(3|2) leading to super-Chern-Simons theory.Comment: hravmac, 50p
Diffusion constant of supercharge density in N=4 SYM at finite chemical potential
We compute holographically the diffusion constant of supercharges in N=4 SYM
at finite chemical potential for the R-charge, by solving the equations of
motion for the transverse mode of the gravitino in the STU black hole in 5
dimensions. We consider the case of one charge and three charges, and we
present analytical solutions for small values of the charges and numerical
solutions for arbitrary values. We compare our results with other known results
in 4 dimensions.Comment: 20 pages, 4 figures; v2: typos correcte
Curved Beta-Gamma Systems and Quantum Koszul Resolution
We consider the partition function of beta-gamma systems in curved space of
the type discussed by Nekrasov and Witten. We show how the Koszul resolution
theorem can be applied to the computation of the partition functions and to
characters of these systems and find a prescription to enforce the hypotheses
of the theorem at the path integral level. We illustrate the technique in a few
examples: a simple 2-dimensional target space, the N-dimensional conifold, and
a superconifold. Our method can also be applied to the Pure Spinor constraints
of superstrings.Comment: harvmac, 17 page
Superstrings and WZNW Models
We give a brief review of our approach to the quantization of superstrings.
New is a covariant derivation of the measure at tree level and a path integral
formula for this measure.Comment: 12 pp, LaTeX, Contribution to the QTS3 Conference Proceeding
Low-lying gravitational modes in the scalar sector of the global AdS_4 black hole
We compute the quasinormal frequencies corresponding to the scalar sector of
gravitational perturbations in the four-dimensional AdS-Schwarzschild black
hole by using the master field formalism of hep-th/0305147. We argue that the
non-deformation of the boundary metric favors a Robin boundary condition on the
master field over the usual Dirichlet boundary condition mostly used in the
literature. Using this Robin boundary condition we find a family of low-lying
modes, whose frequencies match closely with predictions from linearized
hydrodynamics on the boundary. In addition to the low-lying modes, we also see
the usual sequence of modes with frequencies almost following an arithmetic
progression.Comment: 23 pages, 3 figures; v2: typos corrected; v3: algebraic derivation of
hydrodynamic modes corrected, results unaltere
Transport properties of N=4 supersymmetric Yang-Mills theory at finite coupling
Gauge theory-string theory duality describes strongly coupled N=4
supersymmetric SU(n) Yang-Mills theory at finite temperature in terms of near
extremal black 3-brane geometry in type IIB string theory. We use this
correspondence to compute the leading correction in inverse 't Hooft coupling
to the shear diffusion constant, bulk viscosity and the speed of sound in the
large-n N=4 supersymmetric Yang-Mills theory plasma. The transport coefficients
are extracted from the dispersion relation for the shear and the sound wave
lowest quasinormal modes in the leading order alpha'-corrected black D3 brane
geometry. We find the shear viscosity extracted from the shear diffusion
constant to agree with result of [hep-th/0406264]; also, the leading correction
to bulk viscosity and the speed of sound vanishes. Our computation provides a
highly nontrivial consistency check on the hydrodynamic description of the
alpha'-corrected nonextremal black branes in string theory.Comment: 19 pages, LaTe
Hydrodynamics from the Dp-brane
We complete the computation of viscous transport coefficients in the near
horizon geometries that arise from a stack of black Dp-branes for p=2,...,6 in
the decoupling limit. The main new result is the obtention of the bulk
viscosity which, for all p, is found to be related to the speed of sound by the
simple relation \zeta/\eta = -2(v_s^2-1/p). For completeness the shear
viscosity is rederived from gravitational perturbations in the shear and scalar
channels. We comment on technical issues like the counterterms needed, or the
possible dependence on the conformal frame.Comment: 15 page
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