Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations

Abstract

We study the holographic entanglement entropy of an interval in a quantum field theory obtained by deforming a holographic two-dimensional conformal field theory via a general linear combination of irrelevant operators that are closely related to, but nonetheless distinct from, $T\bar{T},J\bar{T}$ and $T\bar{J}$, and compute the Casin-Huerta entropic $c$-function. We find that the entropic $c$-function is ultraviolet regulator independent, and along the renormalization group upflow towards the ultraviolet, it is non-decreasing. We show that the entropic $c$-function exhibits a power law divergence as the interval length approaches a minimum finite value determined in terms of the deformation parameters. We also find for a particular combination of the deformation parameters a square root correction of the entanglement entropy area law.

arXiv comment23 pages, references added, figure added, some points elaborated

References in corpus (25)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement entropy and conformal field theory
• Generalized gravitational entropy
• Holographic Entanglement Entropy: An Overview
• On space of integrable quantum field theories
• The D1/D5 System And Singular CFT
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Anti-de Sitter Fragmentation
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Entanglement as a Probe of Confinement
• More Comments on String Theory on AdS_3
• Universal terms for the entanglement entropy in 2+1 dimensions
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Entanglement entropy and $T\overline{T}$ deformation
• A c-theorem for the entanglement entropy
• Superstrings on AdS_3 and Symmetric Products
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Entanglement Beyond $\mathrm{AdS}$
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• KdV Charges and the Generalized Torus Partition Sum in $T\bar{T}$ deformation

Cited by in corpus (10)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Aspects of Holographic Entanglement Entropy for $T\bar{T}$-deformed CFTs
• Holographic entanglement entropy in $T\overline{T}$-deformed AdS${}_3$
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Mixed state entanglement in deformed field theory at finite temperature
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations