3,331 research outputs found
A holographic proof of the universality of corner entanglement for CFTs
There appears a universal logarithmic term of entanglement entropy, i.e.,
, for 3d CFTs when the entangling surface has a
sharp corner. is a function of the corner opening angle and behaves
as and , respectively. Recently, it is conjectured that
, where is central charge in the stress tensor
correlator, is universal for general CFTs in three dimensions. In this paper,
by applying the general higher curvature gravity, we give a holographic proof
of this conjecture. We also clarify some interesting problems. Firstly, we find
that, in contrast to , is not universal. Secondly, the
lower bound associated to Einstein gravity can be violated by
higher curvature gravity. Last but not least, we find that there are similar
universal laws for CFTs in higher dimensions. We give some holographic tests of
these new conjectures.Comment: 22 pages, 0 figures, typos corrected, accepted by JHE
Universal Terms of Entanglement Entropy for 6d CFTs
We derive the universal terms of entanglement entropy for 6d CFTs by applying
the holographic and the field theoretical approaches, respectively. Our
formulas are conformal invariant and agree with the results of [34,35].
Remarkably, we find that the holographic and the field theoretical results
match exactly for the and terms. Here and denote the Weyl
tensor and the extrinsic curvature, respectively. As for the terms, we
meet the splitting problem of the conical metrics. The splitting problem in the
bulk can be fixed by equations of motion. As for the splitting on the boundary,
we assume the general forms and find that there indeed exists suitable
splitting which can make the holographic and the field theoretical terms
match. Since we have much more equations than the free parameters, the match
for terms is non-trivial.Comment: 38 pages, no figures, add more details of the derivations, typos
corrected, accepted by JHE
The covariant and on-shell statistics in kappa-deformed spacetime
It has been a long-standing issue to construct the statistics of identical
particles in -deformed spacetime. In this letter, we investigate
different ideas on this problem. Following the ideas of Young and Zegers, we
obtain the covariant and on-shell kappa two-particle state in 1+1 D in a
simpler way. Finally, a procedure to get such state in higher dimension is
proposed.Comment: 16 page
A Note on Holographic Weyl Anomaly and Entanglement Entropy
We develop a general approach to simplify the derivation of the holographic
Weyl anomaly. As an application, we derive the holographic Weyl anomaly from
general higher derivative gravity in asymptotically and .
Interestingly, to derive all the central charges of 4d and 6d CFTs, we make no
use of equations of motion. Following Myers' idea, we propose a formula of
holographic entanglement entropy for higher derivative gravity in
asymptotically . Applying this formula, we obtain the correct universal
term of entanglement entropy for 4d CFTs. It turns out that our formula is the
leading term of Dong's proposal in asymptotically . Since only the
leading term contributes to the universal log term, we actually prove that
Dong's proposal yields the correct universal term of entanglement entropy for
4d CFTs. This is a nontrivial test of Dong's proposal.Comment: 20 pages, no figures, accepted by Classical and Quantum Gravity,
prove that Dong's proposal [arXiv: arXiv:1310.5713] gives the correct
universal term of entanglement entropy for 4d CFT
Generalized Gravitational Entropy from Total Derivative Action
We investigate the generalized gravitational entropy from total derivative
terms in the gravitational action. Following the method of Lewkowycz and
Maldacena, we find that the generalized gravitational entropy from total
derivatives vanishes. We compare our results with the work of Astaneh,
Patrushev, and Solodukhin. We find that if total derivatives produced nonzero
entropy, the holographic and the field-theoretic universal terms of
entanglement entropy would not match. Furthermore, the second law of
thermodynamics could be violated if the entropy of total derivatives did not
vanish.Comment: 24 pages; v2: added references, Sec. 5.2 for corner entanglement, a
toy model in Sec. 5.3, and minor corrections; v3: added one reference,
published versio
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