38 research outputs found
Logarithmic Correction to BMSFT Entanglement Entropy
Using Rindler method we derive the logarithmic correction to the entanglement
entropy of a two dimensional BMS-invariant field theory (BMSFT). In particular,
we present a general formula for extraction of the logarithmic corrections to
both the thermal and the entanglement entropies. We also present a CFT formula
related to the logarithmic correction of the BTZ inner horizon entropy which
results in our formula after taking appropriate limit.Comment: 15 pages, V2: Minor corrections, V3: Published versio
Rindler/Contracted-CFT Correspondence
Taking the flat-space limit (zero cosmological constant limit) of the
Rindler-AdS spacetime yields the Rindler metric. According to the proposal of
Flat/contracted-CFT correspondence, the flat-space limit on the bulk side of
asymptotically AdS spacetimes corresponds to the contraction of the conformal
field theory on the boundary. We use this proposal for the Rindler-AdS/CFT
correspondence and propose a dual theory for the Rindler spacetime, which is a
contracted conformal field theory (CCFT). We show that the two-dimensional CCFT
symmetries exactly predict the same two-point functions that one may find by
taking the flat-space limit of three-dimensional Rindler-AdS holographic
results. Using the Flat/CCFT proposal, we also calculate the three-dimensional
Rindler energy-momentum tensor. Since the near horizon geometry of non-extreme
black holes has a Rindler part, we note that it is plausible to find a dual
CCFT at the horizon of non-extreme black holes. By using our energy-momentum
tensor, we find the correct mass of non-rotating BTZ and show that the
Cardy-like formula for CCFT yields the Bekenstein-Hawking entropy of
non-extreme BTZ. Our current work is the first step towards describing the
entropy of non-extreme black holes in terms of CCFTs microstates which live on
the horizon.Comment: 18 pages, V2: typos corrected, published versio
Holographic Calculation of BMSFT Mutual and 3-partite Information
We use flat-space holography to calculate the mutual information and the
3-partite information of a two-dimensional BMS-invariant field theory
(BMSFT). This theory is the putative holographic dual of the
three-dimensional asymptotically flat spacetimes. We find a bound in which
entangling transition occurs for zero and finite temperature BMSFTs. We also
show that the holographic 3-partite information is always non-positive which
indicates that the holographic mutual information is monogamous.Comment: 15 page
Aspects of Ultra-Relativistic Field Theories via Flat-space Holography
Recently it was proposed that asymptotically flat spacetimes have a
holographic dual which is an ultra-relativistic conformal field theory. In this
paper, we obtain the conformal anomaly for such a theory via the flat-space
holography technique. Furthermore, using flat-space holography we obtain a
C-function for this theory which is monotonically decreasing from the UV to the
IR by employing the null energy condition in the bulk.Comment: 14 pages, No figure V2:Major revision V3: Substantial revision and
shortened versio
Dominant Spacetime in Three Dimensional de Sitter Gravity
In three dimensions, Kerr-de Sitter spacetime as a solution of Einstein
gravity with positive cosmological constant has a single cosmological horizon.
The flat-space limit (zero cosmological constant limit) of this spacetime is
well-defined and yields the flat-space cosmological solution which is a
significant spacetime in the context of flat-space holography. In this paper,
we calculate the free energy of this spacetime and compare it with the free
energy of the three-dimensional de Sitter spacetime. We investigate which one
of these two spacetimes will dominate in the semi-classical approximation for
estimating the partition function. It is shown that for the same temperature of
cosmological horizon of two spacetimes this is the de Sitter spacetime which is
always dominant. Hence, contrary to asymptotically flat and asymptotically AdS
spacetimes, there is no phase transition in three dimensional de Sitter
gravity.Comment: 11 pages, V2: clarifications added, published versio