scholarly journals Holographic entanglement entropy in cutoff AdS

2018 ◽  
Vol 33 (36) ◽  
pp. 1850226 ◽  
Author(s):  
Chanyong Park
Keyword(s):  
Fixed Point ◽  
Entanglement Entropy ◽  
Three Dimensional ◽  
Energy Scale ◽  
Field Theories ◽  
Dimensional Sphere ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
Length Contraction

We investigate the holographic entanglement entropy of deformed conformal field theories which are dual to a cutoff AdS space. The holographic entanglement entropy evaluated on a three-dimensional Poincaré AdS space with a finite cutoff can be reinterpreted as that of the dual field theory deformed by either a boost or [Formula: see text] deformation. For the boost case, we show that, although it trivially acts on the underlying theory, it nontrivially affects the entanglement entropy due to the length contraction. For a three-dimensional AdS, we show that the effect of the boost transformation can be reinterpreted as the rescaling of the energy scale, similar to the [Formula: see text] deformation. Under the boost and [Formula: see text] deformation, the [Formula: see text]-function of the entanglement entropy exactly shows the features expected by the Zamolodchikov’s [Formula: see text]-theorem. The deformed theory is always stationary at a UV fixed point and monotonically flows to another CFT in the IR fixed point. We also show that the holographic entanglement entropy in a Poincaré cutoff AdS space can reproduce the exact same result of the [Formula: see text] deformed theory on a two-dimensional sphere.

COVARIANT ENTANGLEMENT ENTROPY

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2074-2081 ◽  
Author(s):  
TADASHI TAKAYANAGI
Keyword(s):  
Entanglement Entropy ◽  
Field Theories ◽  
Covariant Formulation ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
Entropy Bound ◽  
Recent Formulation

We review our recent formulation1,2 of computing entanglement entropy in a holographic way. The basic examples can be found by applying AdS/CFT correspondence and the holographic formula has successfully been checked in many examples of conformal field theories. We also explain the covariant formulation of holographic entanglement entropy which is closely related to the covariant entropy bound (Bousso bound) in an interesting way.

scholarly journals Defects and perturbation

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Enrico M. Brehm
Keyword(s):  
Entanglement Entropy ◽  
Topological Defects ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Field

Abstract We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the g-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.

CONFORMAL THEORIES, CURVED PHASE SPACES, RELATIVISTIC WAVELETS AND THE GEOMETRY OF COMPLEX DOMAINS

1990 ◽  
Vol 02 (01) ◽  
pp. 1-44 ◽  
Author(s):  
R. COQUEREAUX ◽  
A. JADCZYK
Keyword(s):  
General Relativity ◽  
Complex Geometry ◽  
Three Dimensional ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Relativistic Phase

We investigate some aspects of complex geometry in relation with possible applications to quantization, relativistic phase spaces, conformal field theories, general relativity and the music of two and three-dimensional spheres.

SOME LANDAU-GINZBURG MODELS FROM CONFORMAL FIELD THEORY

1990 ◽  
Vol 05 (12) ◽  
pp. 2343-2358 ◽  
Author(s):  
KEKE LI
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Conformal Field Theory ◽  
Current Algebra ◽  
Operator Algebra ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Coset Models ◽  
Marginal Deformation

A method of constructing critical (fixed point) Landau-Ginzburg action from operator algebra is applied to several classes of conformal field theories, including lines of c = 1 models and the coset models based on SU(2) current algebra. For the c = 1 models, the Landau-Ginzberg potential is argued to be physically consistent, and it resembles a modality-one singularity with modal deformation representing exactly the marginal deformation. The potentials for the coset models manifestly possess correct discrete symmetries.

scholarly journals Holographic BCFTs and communicating black holes

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Hao Geng ◽  
Severin Lüst ◽  
Rashmish K. Mishra ◽  
David Wakeham
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Central Charge ◽  
Entanglement Entropy ◽  
Three Dimensional ◽  
Conformal Field Theories ◽  
De Sitter ◽  
Conformal Field ◽  
Theory Calculation ◽  
Scaling Dimension

Abstract We study the AdS/BCFT duality between two-dimensional conformal field theories with two boundaries and three-dimensional anti-de Sitter space with two Karch-Randall branes. We compute the entanglement entropy of a bipartition of the BCFT, on both the gravity side and the field theory side. At finite temperature this entanglement entropy characterizes the communication between two braneworld black holes, coupled to each other through a common bath. We find a Page curve consistent with unitarity. The gravitational result, computed using double-holographically realized quantum extremal surfaces, matches the conformal field theory calculation.At zero temperature, we obtain an interesting extension of the AdS3/BCFT2 correspondence. For a central charge c, we find a gap $$ \left(\frac{c}{16},\frac{c}{12}\right) $$ c 16 c 12 in the spectrum of the scaling dimension ∆bcc of the boundary condition changing operator (which interpolates mismatched boundary conditions on the two boundaries of the BCFT). Depending on the value of ∆bcc, the gravitational dual is either a defect global AdS3 geometry or a single sided black hole, and in both cases there are two Karch-Randall branes.

scholarly journals Universal relations for holographic interfaces

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Andreas Karch ◽  
Zhu-Xi Luo ◽  
Hao-Yu Sun
Keyword(s):  
Entanglement Entropy ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

Abstract We study the entanglement entropy in 1+1 dimensional conformal field theories in the presence of interfaces from a holographic perspective. Compared with the well-known case of boundary conformal field theories, interfaces allow for several interesting new observables. Depending on how the interface is located within the entangling region, the entanglement entropies differ and exhibit surprising new patterns and universal relations. While our analysis is performed within the framework of holography, we expect our results to hold more generally.

Sign in / Sign up

Export Citation Format

Share Document