Correlation functions in holographic RG flows

By Ioannis Papadimitriou, Kostas Skenderis. 2004

253 citations recorded by the source corpus.

We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant simplification concerns the treatment of infinities: instead of performing a general analysis of counterterms, we develop a method where only the contribution of counterterms to any given correlators needs to be computed. For instance, the computation of renormalized 2-point functions requires only an analysis at the linearized level. We illustrate the method by discussing flat and AdS-sliced domain walls. In particular, we discuss correlation functions of the Janus solution, a recently discovered non-supersymmetric but stable AdS-sliced domain wall.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ca7738a633fb8084c9240f69336d25d65d9f0b29

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Citations in the corpus

Gravity duals of half-BPS Wilson loops (2007, background): “These solutions are holographic duals of (generalized) interface SYM theories [14, 15].”
Interface Yang–Mills, supersymmetry, and Janus (2006, methodology): “Some aspects of the holographic properties of the Janus solution were discussed in [1, 3, 10 ].”
Some calculable contributions to holographic entanglement entropy (2011, background): “Further the leading coefficient ψ d 2 −α)(x) can be related to matter conformal anomalies [19, 26–29].”
Real‐time response in AdS/CFT with application to spinors (2009, background): “Note that in general the limit r → ∞ in (13) is non-trivial and requires careful renormalization, which was developed systematically in [13, 14].”
Holographic renormalization of general dilaton-axion gravity (2011, background): “Vacua with c 6= 0 allow for a non-trivial axion profile, corresponding to giving a VEV to the operator Tr (FF̃ ).”
Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT (2007, methodology): “This technique was applied to compute renormalized correlation functions in [38], which involved evaluating Ir in a small source approximation.”
Kaluza-Klein Holography (2006, methodology): “2 5d supergravity fields The part of the 5d action involving the metric and the field S2 is same as the sector of gauged supergravity analyzed in [8, 9] (where S2 was called Φ) (see also [15, 10]).”
Thermodynamics of Asymptotically Locally AdS Spacetimes (2005, background): “5.1 Black hole thermodynamics 26 5.2 First law 28 5.3 Dependence on the representative of the conformal class 29”
Holography for Schrödinger backgrounds (2010, methodology): “1), guarantee that all divergences are local in the boundary data [37, 38].”
Universal hydrodynamics of non-conformal branes (2009, unknown): “The conformal conservation equation (3.2) reduces to [12] ∇iTij − ∂jκ(0)〈Oφ〉 = 0, (3.6) where 〈Oφ〉 is again the expectation value of the operator dual to φ.”
Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects (2013, background): “2) in any asymptotically locally AdSd+1 region is [47,87],”
The fuzzball proposal for black holes (2008, methodology): “Higher point functions can be obtained by solving the fluctuation equations around the original solution [31, 32, 33, 34] but this will not be reviewed here.”
Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, methodology): “Several dynamical problems in the interface Yang-Mills theory, such as the persistence of the interface conformal symmetry at the quantum level, may be addressed by directly exploiting the dynamics of the bulk theory [22, 23 ].”
Static supersymmetric black holes in AdS4 with spherical symmetry (2010, methodology): “As already shown in [33–37], the standard laws of black hole thermodynamics hold with the above definition of holographically renormalized energy.”
Fuzzballs with internal excitations (2007, methodology): “A systematic method for extracting vevs from asymptotically AdS ×X solutions (with X an arbitrary compact manifold) was only recently constructed, in [10], building on earlier work [24, 25, 26, 27, 28], see also the review [29].”