Correlation Functions in Holographic RG Flows

Papadimitriou, Ioannis; Skenderis, Kostas

doi:10.1088/1126-6708/2004/10/075

Cited by 199 publications

(348 citation statements)

References 47 publications

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“…The reason is that various aspects of the holographic RG simplify in the Hamiltonian approach, as found in [42][43][44], and more recently in [45][46][47]. 5…”

Section: Hamiltonian Formulationmentioning

confidence: 99%

Holographic RG flows, entanglement entropy and the sum rule

Casini

Testé

Torroba

2016

J. High Energ. Phys.

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Abstract:We calculate the two-point function of the trace of the stress tensor in holographic renormalization group flows between pairs of conformal field theories. We show that the term proportional to the momentum squared in this correlator gives the change of the central charge between fixed points in d = 2 and in d > 2 it gives the holographic entanglement entropy for a planar region. This can also be seen as a holographic realization of the Adler-Zee formula for the renormalization of Newton's constant. Holographic regularization is found to provide a perfect match of the finite and divergent terms of the sum rule, and it is analogous to the regularization of the entropy in terms of mutual information. Finally, we provide a general proof of reflection positivity in terms of stability of the dual bulk action, and discuss the relation between unitarity constraints, the null energy condition and regularity in the interior of the gravity solution.

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“…The reason is that various aspects of the holographic RG simplify in the Hamiltonian approach, as found in [42][43][44], and more recently in [45][46][47]. 5…”

Section: Hamiltonian Formulationmentioning

confidence: 99%

Holographic RG flows, entanglement entropy and the sum rule

Casini

Testé

Torroba

2016

J. High Energ. Phys.

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“…The Janus solution utilizes an ansatz where AdS d+1 is sliced using AdS d factors. The solution found in [7] (see also [8,9]) is dual to an interface of N = 4 super Yang-Mills theory where the Yang-Mills coupling constant jumps across the interface. The original solution breaks all supersymmetries, but many generalizations have been found which realize superconformal interface theories [10,11,12,13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Holographic renormalization group flows and boundary conformal field theories

Gutperle

Samani

2012

Phys. Rev. D

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Solutions of (d + 1)-dimensional gravity coupled to a scalar field are obtained, which holographically realize interface and boundary CFTs. The solution utilizes a Janus-like AdS d slicing ansatz and corresponds to a deformation of the CFT by a spatially-dependent coupling of a relevant operator. The BCFT solutions are singular in the bulk, but physical quantities such as the holographic entanglement entropy can be calculated.

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“…Some aspects of the holographic properties of the Janus solution were discussed in [1,3,10]. The boundary of a Janus solution consists of two halves of Minkowski space-time which are joined along an interface.…”

Section: Introductionmentioning

confidence: 99%

Interface Yang–Mills, supersymmetry, and Janus

2006

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We consider theories consisting of a planar interface with N = 4 super-YangMills on either side and varying gauge coupling across the interface. The interface does not carry any independent degrees of freedom, but is allowed to support local gauge invariant operators, included with independent interface couplings. In general, both conformal symmetry and supersymmetry will be broken, but for special arrangements of the interface couplings, these symmetries may be restored. We provide a systematic classification of all allowed interface supersymmetries. We find new theories preserving eight and four Poincaré supersymmetries, which get extended to sixteen and eight supersymmetries in the conformal limit, respectively with SU (2) × SU (2), SO(2) × SU (2) internal symmetry. The Lagrangians for these theories are explicitly constructed. We also recover the theory with two Poincaré supersymmetries and SU (3) internal symmetry proposed earlier as a candidate CFT dual to super Janus. Since our new interface theories have only operators from the supergravity multiplet turned on, dual supergravity solutions are expected to exist. We speculate on the possible relation between the interface theory with maximal supersymmetry and the near-horizon limit of the D3-D5 system.

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Correlation Functions in Holographic RG Flows

Cited by 199 publications

References 47 publications

Holographic RG flows, entanglement entropy and the sum rule

Holographic RG flows, entanglement entropy and the sum rule

Holographic renormalization group flows and boundary conformal field theories

Interface Yang–Mills, supersymmetry, and Janus

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