39 research outputs found
One-loop effective actions and 2D hydrodynamics with anomalies
We revisit the study of a 2D quantum field theory in the hydrodynamic regime
and develop a formalism based on Euclidean one-loop partition functions that is
suitable to analyze transport properties due to gauge and gravitational
anomalies. To do so, we generalize the method of a modified Dirac operator
developed for zero-temperature anomalies to finite temperature, chemical
potentials and rotations.Comment: 5 page
Partition Functions in Even Dimensional AdS via Quasinormal Mode Methods
In this note, we calculate the one-loop determinant for a massive scalar
(with conformal dimension ) in even-dimensional AdS space,
using the quasinormal mode method developed in arXiv:0908.2657 by Denef,
Hartnoll, and Sachdev. Working first in two dimensions on the related Euclidean
hyperbolic plane , we find a series of zero modes for negative real values
of whose presence indicates a series of poles in the one-loop
partition function in the complex plane; these poles
contribute temperature-independent terms to the thermal AdS partition function
computed in arXiv:0908.2657. Our results match those in a series of papers by
Camporesi and Higuchi, as well as Gopakumar et.al. in arXiv:1103.3627 and
Banerjee et.al. in arXiv:1005.3044. We additionally examine the meaning of
these zero modes, finding that they Wick-rotate to quasinormal modes of the
AdS black hole. They are also interpretable as matrix elements of the
discrete series representations of in the space of smooth functions
on . We generalize our results to general even dimensional AdS,
again finding a series of zero modes which are related to discrete series
representations of , the motion group of .Comment: 27 pages; v2: minor updates and JHEP versio
Aspects of Symmetry in de Sitter Space
We study various aspects of symmetry in four-dimensional de Sitter space (dS).Physic
Holographic Thermal Helicity
We study the thermal helicity, defined in arXiv:1211.3850, of a conformal
field theory with anomalies in the context of AdS/CFT. To do
so, we consider large charged rotating AdS black holes in the
Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant
using fluid/gravity expansion. We compute the anomaly-induced current and
stress tensor of the dual CFT in leading order of the fluid/gravity derivative
expansion and show their agreement with the field theoretical replacement rule
for the thermal helicity. Such replacement rule is reflected in the bulk by new
replacement rules obeyed by the Hall currents around the black hole.Comment: 20 pages + 47 pages of appendices ; v2: minor correction
Covariant Noether Charge for Higher Dimensional Chern-Simons Terms
We construct a manifestly covariant differential Noether charge for theories
with Chern-Simons terms in higher dimensional spacetimes. This is in contrast
to Tachikawa's extension of the standard Lee-Iyer-Wald formalism which results
in a non-covariant differential Noether charge for Chern-Simons terms. On a
bifurcation surface, our differential Noether charge integrates to the
Wald-like entropy formula proposed by Tachikawa in arXiv:hep-th/0611141.Comment: 45 pages; v2: minor corrections and JHEP versio
Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
We consider warped AdS_3 black holes in generic higher derivatives gravity
theories in 2+1 dimensions. The asymptotic symmetry group of the phase space
containing these black holes is the semi-direct product of a centrally extended
Virasoro algebra and an affine u(1) Kac-Moody algebra. Previous works have
shown that in some specific theories, the entropy of these black holes agrees
with a Cardy-like entropy formula derived for warped conformal field theories.
In this paper, we show that this entropy matching continues to hold for the
most general higher derivative theories of gravity. We also discuss the
existence of phase transitions.Comment: 35 pages, 1 figure, added reference