206 research outputs found
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
Schwinger-Keldysh Propagators from AdS/CFT Correspondence
We demonstrate how to compute real-time Green's functions for a class of
finite temperature field theories from their AdS gravity duals. In particular,
we reproduce the two-by-two Schwinger-Keldysh matrix propagator from a gravity
calculation. Our methods should work also for computing higher point Lorentzian
signature correlators. We elucidate the boundary condition subtleties which
hampered previous efforts to build a Lorentzian-signature AdS/CFT
correspondence. For two-point correlators, our construction is automatically
equivalent to the previously formulated prescription for the retarded
propagator.Comment: 16 pages, 1 figure, references added; to appear in JHE
Low frequency quasi-normal modes of AdS black holes
We calculate analytically low frequency quasi-normal modes of gravitational
perturbations of AdS Schwarzschild black holes in dimensions. We arrive at
analytic expressions which are in agreement with their counterparts from
linearized hydrodynamics in , in accordance with the
AdS/CFT correspondence. Our results are also in good agreement with results of
numerical calculations.Comment: 14 page
Low-Energy Theorems from Holography
In the context of gauge/gravity duality, we verify two types of gauge theory
low-energy theorems, the dilation Ward identities and the decoupling of heavy
flavor. First, we provide an analytic proof of non-trivial dilation Ward
identities for a theory holographically dual to a background with gluon
condensate (the self-dual Liu--Tseytlin background). In this way an important
class of low-energy theorems for correlators of different operators with the
trace of the energy-momentum tensor is established, which so far has been
studied in field theory only. Another low-energy relationship, the so-called
decoupling theorem, is numerically shown to hold universally in three
holographic models involving both the quark and the gluon condensate. We show
this by comparing the ratio of the quark and gluon condensates in three
different examples of gravity backgrounds with non-trivial dilaton flow. As a
by-product of our study, we also obtain gauge field condensate contributions to
meson transport coefficients.Comment: 32 pages, 4 figures, two references added, typos remove
Spin-Spin and Spin-Orbit Interactions in Strongly Coupled Gauge Theories
We evaluate the spin-orbit and spin-spin interaction between two fermions in
strongly coupled gauge theories in their Coulomb phase. We use the
quasi-instantaneous character of Coulomb's law at strong coupling to resum a
class of ladder diagrams. For SYM we derive both weak and strong
coupling limits of the the spin-orbit and spin-spin interactions, and find that
in the latter case these interactions are subleading corrections and do not
seriously affect the deeply bound Coulomb states with large angular momentum,
pointed out in our previous paper. The results are important for understanding
of the regime of intermediate coupling, which is the case for QCD somewhat
above the chiral transition temperature
Perturbations of anti-de Sitter black holes
I review perturbations of black holes in asymptotically anti-de Sitter space.
I show how the quasi-normal modes governing these perturbations can be
calculated analytically and discuss the implications on the hydrodynamics of
gauge theory fluids per the AdS/CFT correspondence. I also discuss phase
transitions of hairy black holes with hyperbolic horizons and the dual
superconductors emphasizing the analytical calculation of their properties.Comment: 25 pages, 4 figures, prepared for the proceedings of the 5th Aegean
Summer School "From Gravity to Thermal Gauge Theories: the AdS/CFT
Correspondence," Milos, Greece, September 2009
Thermal Correlators in Little String Theory
We calculate, using holographic duality, the thermal two-point function in
finite temperature little string theory. The analysis of those correlators
reveals possible instabilities of the thermal ensemble, as in previous
discussions of the thermodynamics of little string theory. We comment on the
dependence of the instability on the spatial volume of the system.Comment: 13 page
ROBustness In Network (robin): an R Package for Comparison and Validation of Communities
In network analysis, many community detection algorithms have been developed. However, their implementation leaves unaddressed the question of the statistical validation of the results. Here, we present robin (ROBustness In Network), an R package to assess the robustness of the community structure of a network found by one or more methods to give indications about their reliability. The procedure initially detects if the community structure found by a set of algorithms is statistically significant and then compares two selected detection algorithms on the same graph to choose the one that better fits the network of interest. We demonstrate the use of our package on the American College Football benchmark dataset
Aspects of higher curvature terms and U-duality
We discuss various aspects of dimensional reduction of gravity with the
Einstein-Hilbert action supplemented by a lowest order deformation formed as
the Riemann tensor raised to powers two, three or four. In the case of R^2 we
give an explicit expression, and discuss the possibility of extended coset
symmetries, especially SL(n+1,Z) for reduction on an n-torus to three
dimensions. Then we start an investigation of the dimensional reduction of R^3
and R^4 by calculating some terms relevant for the coset formulation, aiming in
particular towards E_8(8)/(Spin(16)/Z_2) in three dimensions and an
investigation of the derivative structure. We emphasise some issues concerning
the need for the introduction of non-scalar automorphic forms in order to
realise certain expected enhanced symmetries.Comment: 26 pp., 15 figs., plain te
Deconstructing holographic liquids
We argue that there exist simple effective field theories describing the
long-distance dynamics of holographic liquids. The degrees of freedom
responsible for the transport of charge and energy-momentum are Goldstone
modes. These modes are coupled to a strongly coupled infrared sector through
emergent gauge and gravitational fields. The IR degrees of freedom are
described holographically by the near-horizon part of the metric, while the
Goldstone bosons are described by a field-theoretical Lagrangian. In the cases
where the holographic dual involves a black hole, this picture allows for a
direct connection between the holographic prescription where currents live on
the boundary, and the membrane paradigm where currents live on the horizon. The
zero-temperature sound mode in the D3-D7 system is also re-analyzed and
re-interpreted within this formalism.Comment: 21 pages, 2 figure
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