Inverted c-functions in thermal states

Cartwright, Casey; Kaminski, Matthias

doi:10.1007/jhep01(2022)161

Cited by 8 publications

(4 citation statements)

References 82 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For instance, the a-theorem [60][61][62] with the anomaly a and the F -theorem [63,64] with the free energy F . See also [57,[65][66][67][68][69][70][71][72][73][74][75][76][77]]. 6 σ is not the entanglement density [80,81] defined as the second derivative of entanglement entropy.…”

Section: Entanglement Density σmentioning

confidence: 99%

Holographic entanglement density for spontaneous symmetry breaking

Jeong

Kim

Sun

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate the properties of the holographic entanglement entropy of the systems in which the U(1) or the translational symmetry is broken spontaneously. For this purpose, we define the entanglement density of the strip-subsystems and examine both the first law of entanglement entropy (FLEE) and the area theorem. We classify the conditions that FLEE and/or the area theorem obey and show that such a classification may be useful for characterizing the systems. We also find universalities from both FLEE and the area theorem. In the spontaneous symmetry breaking case, FLEE is always obeyed regardless of the type of symmetry: U(1) or translation. For the translational symmetry, the area theorem is always violated when the symmetry is weakly broken, independent of the symmetry breaking patterns (explicit or spontaneous). We also argue that the log contribution of the entanglement entropy from the Goldstone mode may not appear in the strongly coupled systems.

show abstract

Section: Entanglement Density σmentioning

confidence: 99%

Holographic entanglement density for spontaneous symmetry breaking

Jeong

Kim

Sun

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Holographic entanglement density for spontaneous symmetry breaking

Jeong,

Kim,

Sun

2022

Preprint

View full text Add to dashboard Cite

We investigate the properties of the holographic entanglement entropy of the systems in which the U (1) or the translational symmetry is broken spontaneously. For this purpose, we define the entanglement density of the strip-subsystems and examine both the first law of entanglement entropy (FLEE) and the area theorem. We classify the conditions that FLEE and/or the area theorem obey and show that such a classification may be useful for characterizing the systems. We also find universalities from both FLEE and the area theorem. In the spontaneous symmetry breaking case, FLEE is always obeyed regardless of the type of symmetry: U (1) or translation. For the translational symmetry, the area theorem is always violated when the symmetry is weakly broken, independent of the symmetry breaking patterns (explicit or spontaneous). We also argue that the log contribution of the entanglement entropy from the Goldstone mode may not appear in the strongly coupled systems.

show abstract

“…Using a gravitational integrable model holographic RG flows were studied in [19]. In [20][21][22][23] a generalization of RG flow equations to a holographic system with a chemical potential was considered.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of holographic RG flows in 3d supergravity

Golubtsova¹,

Usova²

2022

Preprint

View full text Add to dashboard Cite

We study holographic RG flows in a 3d supergravity model from the side of the dynamical system theory. The gravity equations of motion are reduced to an autonomous dynamical system. Then we find equilibrium points of the system and analyze them for stability. We also restore asymptotic solutions near the critical points. We find two types of solutions: with asymptotically AdS metrics and hyperscaling violating metrics. We write down possible RG flows between an unstable (saddle) UV fixed point and a stable (stable node) IR fixed point. We also analyze bifurcations in the model.

show abstract

Inverted c-functions in thermal states

Cited by 8 publications

References 82 publications

Holographic entanglement density for spontaneous symmetry breaking

Holographic entanglement density for spontaneous symmetry breaking

Holographic entanglement density for spontaneous symmetry breaking

Stability analysis of holographic RG flows in 3d supergravity

Contact Info

Product

Resources

About