Logarithmic correction to BMSFT entanglement entropy

Fareghbal, Reza; Karimi, Pedram

doi:10.1140/epjc/s10052-018-5760-x

Cited by 9 publications

(13 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, in order to provide robust and sufficiently general results, we consider the leading order quantum correction to the Bekenstein entropy formula, namely a logarithmic term in the horizon area. The presence of a term of that form is predicted by various approaches to quantum gravity, such as loop quantum gravity (LQG) [21,22], string theory [23,24] and AdS/CFT correspondence [25,26]. Logarithmic corrections also arise from phenomenological models such as generalised uncertainty principle (GUP) [5], which adds an extra non-commutative term to the well-known Heisenberg uncertainty principle, due to introduction of a minimal length into the theory.…”

Section: Jhep12(2020)196mentioning

confidence: 99%

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Alonso-Serrano

Liška

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

In this work we derive general quantum phenomenological equations of gravitational dynamics and analyse its features. The derivation uses the formalism developed in thermodynamics of spacetime and introduces low energy quantum gravity modifications to it. Quantum gravity effects are considered via modification of Bekenstein entropy by an extra logarithmic term in the area. This modification is predicted by several approaches to quantum gravity, including loop quantum gravity, string theory, AdS/CFT correspondence and generalised uncertainty principle phenomenology, giving our result a general character. The derived equations generalise classical equations of motion of unimodular gravity, instead of the ones of general relativity, and they contain at most second derivatives of the metric. We provide two independent derivations of the equations based on thermodynamics of local causal diamonds. First one uses Jacobson's maximal vacuum entanglement hypothesis, the second one Clausius entropy flux. Furthermore, we consider questions of diffeomorphism and local Lorentz invariance of the resulting dynamics and discuss its application to a simple cosmological model, finding a resolution of the classical singularity.

show abstract

Section: Jhep12(2020)196mentioning

confidence: 99%

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Alonso-Serrano

Liška

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…The universal structure of the correlation functions of BMSFT 2 and BMSFT 3 has been studied in [9][10][11][12]. The entanglement entropy formula and also the holographic interpretation of this formula in the context of flat/BMSFT have been studied in [13][14][15][16][17][18][19][20]. In all of the above mentioned works, the calculations that are done in asymptotically flat spacetimes nicely fit to the results given by taking the ultrarelativistic limit of CFTs.…”

Section: Introductionmentioning

confidence: 77%

Complexity growth in flat spacetimes

Fareghbal

Karimi

2018

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We use the complexity equals action proposal to calculate the rate of complexity growth for field theories that are the holographic duals of asymptotically flat spacetimes. To this aim, we evaluate the on-shell action of asymptotically flat spacetime on the Wheeler-DeWitt patch. This results in the same expression as can be found by taking the flat-space limit from the corresponding formula related to the asymptotically AdS spacetimes. For the bulk dimensions that are greater than three, the rate of complexity growth at late times approaches from above to Lloyd's bound. However, for the three-dimensional bulks, this rate is a constant and differs from Lloyd's bound by a logarithmic term.

show abstract

“…One can then use these symmetries to perform non-trivial checks of a possible holographic correspondence. These checks include for example a derivation and matching of a Cardy-like formula (including logarithmic corrections) of cosmological solutions in flat space 23 [61,62,63,64,65,66,67], calculating holographic entanglement entropy [68,69,70] including logarithmic corrections [71], one-loop (higher-spin) partition functions in flat space [72,73,74] or the computation of holographic stress tensor correlation functions [75,76]. In the following we want to review some aspects of such holographic principle and in particular we want to present how a canonical analysis can help identifying a putative dual quantum field theory for asymptotically flat spacetimes in three dimensions.…”

Section: Flat Space Holographymentioning

confidence: 99%

Canonical charges in flatland

Riegler¹,

Zwikel²

2018

Proceedings of XIII Modave Summer School in Mathematical Physics — PoS(Modave2017)

View full text Add to dashboard Cite

In this series of lectures we give an introduction to the concept of asymptotic symmetry analysis with a focus on asymptotically flat spacetimes in 2+1 dimensions. We explain general ideas of quantizing gauge theories and then apply these ideas to gravity both in the metric as well as the Chern-Simons formulations. This enables one to compute the asymptotic symmetries of given gravitational configurations that in turn act as the basic underlying symmetries of a possible dual quantum field theory in the context of holography. We also briefly elaborate on the concept of "soft hair" excitations of black holes in this context.

show abstract

Logarithmic correction to BMSFT entanglement entropy

Cited by 9 publications

References 40 publications

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime

Complexity growth in flat spacetimes

Canonical charges in flatland

Contact Info

Product

Resources

About