Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy

Abstract

We study the $(d+2)$-dimensional Hyperscaling Violating (HV) geometries in the presence of both a finite temperature $T$ and a UV cutoff $r_c$. This gravitational system is conjectured to be dual to $T\bar{T}$ like deformed HV QFTs. We consider the representative quantum entanglement quantity in holography, i.e. the entanglement entropy $S(A)$, and perform a complete analysis in all possible parameter ranges of the hyperscaling violation exponent $\theta$ and the critical dynamical exponent $z$ to study the effect of the temperature and the cutoff. We find that the temperature has a universal effect independent of the parameters: it enhances $S(A)$ in the small cutoff limit, while it is irrelevant in the large cutoff limit. For the cutoff effect, we find that the cutoff monotonically suppresses $S(A)$ where its behavior depends on the parameter range. As an application of the finite temperature analysis, we study the first law of entanglement entropy, $S_T-S_{T=0}\sim {\ell }^{\lambda }$, in the small subsystem size $\ell$ limit. We find that $\lambda$ interpolates between $\lambda =1+z$ in the small cutoff and $\lambda =3$ in the large cutoff, independent of the parameter range. We also provide the analytic holographic result at $z=d-\theta$ and discuss its possibility of comparison with the field theoretic result.

arXiv comment19 pages, 4 figures

References in corpus (55)

• Gauge Theory Correlators from Non-Critical String Theory
• Aspects of Holographic Entanglement Entropy
• Building up spacetime with quantum entanglement
• Holographic Entanglement Entropy: An Overview
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Effective Holographic Theories for low-temperature condensed matter systems
• Holographic duality from random tensor networks
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Aspects of holography for theories with hyperscaling violation
• Slow scrambling in disordered quantum systems
• Holographic Fermi Surfaces and Entanglement Entropy
• Cutoff AdS${}_3$ versus the $T\bar{T}$ deformation
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• Scrambling and thermalization in a diffusive quantum many-body system
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
• Holography at finite cutoff with a $T^2$ deformation
• Many-body chaos and energy dynamics in holography
• Quantum chaos on a critical Fermi surface
• $T\bar{T}$-deformations in closed form
• Entanglement entropy and $T\overline{T}$ deformation
• Thermal diffusivity and chaos in metals without quasiparticles
• Universal Diffusion in Incoherent Black Holes
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• Anomalous Thermal Diffusivity in Underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Diffusion and Chaos from near AdS${}_2$ horizons
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• Comments on Holographic Entanglement Entropy in TT Deformed CFTs
• Thermal diffusivity and butterfly velocity in anisotropic Q-Lattice models
• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Holographic Entanglement Entropy in Cutoff AdS
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• $T\bar{T}$-deformed conformal field theories out of equilibrium
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• Holographic entanglement density for spontaneous symmetry breaking
• $T\bar{T}$-flow effects on torus partition functions
• Quantum corrections to finite radius holography and holographic entanglement entropy
• Complexity of Hyperscaling Violating Theories at Finite Cutoff
• $T\bar{T}$ deformation on multiquantum mechanics and regenesis
• Entanglement entropy and the first law at third order for boosted black branes
• HEE and HSC for flavors: perturbative structure in open string geometries

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