371 research outputs found
Warped Black Holes in Lower-Spin Gravity
We provide a simple holographic description for a warped conformal field
theory (WCFT) at finite temperature. To this end we study the counterpart of
warped anti-de Sitter black holes in three dimensions using a lower-spin
Chern-Simons theory proposed
by Hofman and Rollier. We determine the asymptotic symmetries, thermal entropy
and holographic entanglement entropy and show that all these quantities are in
perfect agreement with the expectations from the dual WCFT perspective. In
addition we provide a metric interpretation of our results which naturally fits
with our analysis in the Chern-Simons formulation.Comment: 33 pages, 1 figure; v2: corrected minor typos and added references;
v3: added a section, references and corrected minor typos. Matches published
version
Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
We compute the phase diagram of a
invariant fermionic planar matrix quantum mechanics [equivalently tensor or
complex Sachdev-Ye-Kitaev (SYK) models] in the new large limit, dominated
by melonic graphs. The Schwinger-Dyson equations can have two solutions
describing either a high entropy, SYK black-hole-like phase, or a low entropy
one with trivial IR behavior. In the strongly coupled region of the
mass-temperature plane, there is a line of first order phase transitions
between the high and low entropy phases. This line terminates at a new critical
point which we study numerically in detail. The critical exponents are nonmean
field and differ on the two sides of the transition. We also study purely
bosonic unstable and stable melonic models. The former has a line of Kazakov
critical points beyond which the Schwinger-Dyson equations do not have a
consistent solution. Moreover, in both models the would-be SYK-like solution of
the IR limit of the equations does not exist in the full theory.Comment: 14 pages, 5 figures, minor changes in v
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
Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes
We study the asymptotic Virasoro symmetry which acts on the near-horizon
region of extremal four-dimensional black hole solutions of gravity theories
with higher-derivative corrections, following the recently proposed Kerr/CFT
correspondence. We demonstrate that its central charge correctly reproduces the
entropy formula of Iyer-Wald, once the boundary terms in the symplectic
structure are carefully chosen.Comment: 36 page
A new look at instantons and large-N limit
We analyze instantons in the very strongly coupled large- limit
( with fixed) of large- gauge theories, where the effect
of the instantons remains finite. By using the exact partition function of
four-dimensional gauge theories as a concrete example, we
demonstrate that each instanton sector in the very strongly coupled large-
limit is related to the one in the 't Hooft limit ( with
fixed) through a simple analytic continuation. Furthermore we show the
equivalence between the instanton partition functions of a pair of large-
gauge theories related by an orbifold projection. This can open up a new way to
analyze the partition functions of low/non-supersymmetric theories. We also
discuss implication of our result to gauge/gravity dualities for M-theory as
well as a possible application to large- QCD.Comment: 10 page
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