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Within the program of holographic renormalization, we discuss the computation of three-point correlation functions along RG flows. We illustrate the procedure in two simple cases. In an RG flow to the Coulomb branch of N=4 SYM theory we…

High Energy Physics - Theory · Physics 2010-04-05 Massimo Bianchi , Alessandro Marchetti

We systematically develop the procedure of holographic renormalization for RG flows dual to asymptotically AdS domain walls. All divergences of the on-shell bulk action can be cancelled by adding covariant local boundary counterterms…

High Energy Physics - Theory · Physics 2015-06-26 Massimo Bianchi , Daniel Z. Freedman , Kostas Skenderis

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…

High Energy Physics - Theory · Physics 2016-04-19 Horacio Casini , Eduardo Teste , Gonzalo Torroba

We use the holographic method to investigate an RG flow and IR physics of a two-dimensional conformal field theory (CFT) deformed by a relevant scalar operator. On the dual gravity side, a renormalization group (RG) flow from a UV to IR CFT…

High Energy Physics - Theory · Physics 2024-12-11 Chanyong Park , Jung Hun Lee

We derive and solve a subset of the fluctuation equations about two domain wall solutions of D=5, N=8 gauged supergravity. One solution is dual to D=4, N=4 SYM theory perturbed by an N=1, SO(3)-invariant mass term and the other to a Coulomb…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Bianchi , Oliver DeWolfe , Daniel Z. Freedman , Krzysztof Pilch

We describe a supersymmetric RG flow between conformal fixed points of a two-dimensional quantum field theory as an analytic domain wall solution of the three-dimensional SO(4) x SO(4) gauged supergravity. Its ultraviolet fixed point is an…

High Energy Physics - Theory · Physics 2009-11-07 Marcus Berg , Henning Samtleben

We study holographic models describing an RG flow between two fixed points driven by a relevant scalar operator. We show how to introduce a spurion field to restore Weyl invariance and compute the anomalous contribution to the generating…

High Energy Physics - Theory · Physics 2013-03-20 Carlos Hoyos , Uri Kol , Jacob Sonnenschein , Shimon Yankielowicz

We study holographic RG flows of N=2 matter couple AdS_3 supergravities which admit both compact and non-compact sigma manifolds. For the compact case the supersymmetric domain wall solution interpolates between a conformal IR region and…

High Energy Physics - Theory · Physics 2009-11-07 Nihat Sadik Deger

This is a very brief review of some results from hep-th/0112154 and hep-th/0209191. In holographic renormalization, we studied the RG flow of a 2d N=(4,4) CFT perturbed by a relevant operator, flowing to a conformal fixed point in the IR.…

High Energy Physics - Theory · Physics 2007-05-23 Marcus Berg

In this work we focus on the study of RG flows of conformal field theories that are holographically dual to Poincar\'e domain wall solutions in $D=3$, $\mathcal{N}=(2,0)$ gauged supergravity coupled to a sigma model with target space $SU(1,…

We investigate how the holographic correspondence can be reformulated as a generalisation of Wilsonian RG flow in a strongly interacting large $N$ quantum field theory. We firstly define a \textit{highly efficient RG flow} as one in which…

High Energy Physics - Theory · Physics 2016-07-08 Nicolas Behr , Stanislav Kuperstein , Ayan Mukhopadhyay

A large set of relevant deformations of the ABJM field theory on a stack of M2 branes is captured holographically by D=4 N=8 SO(8)-gauged supergravity, which has accordingly been applied to study renormalisation group (RG) flows of the…

High Energy Physics - Theory · Physics 2015-11-02 Javier Tarrio , Oscar Varela

We consider a certain ${\cal N}=1$ supersymmetric, $SO(3)\times SO(3)$ invariant, subsector of the $\omega$-deformed family of $SO(8)$-gauged ${\cal N}=8$ four-dimensional supergravities. The theory contains two scalar fields and two…

High Energy Physics - Theory · Physics 2015-10-19 Yi Pang , C. N. Pope , Junchen Rong

We consider the holographic renormalization group (RG) flow in three dimensional gravity with the gravitational Chern-Simons term coupled to some scalar fields. We apply the canonical approach to this higher derivative case and employ the…

High Energy Physics - Theory · Physics 2014-11-20 Kyosuke Hotta , Yoshifumi Hyakutake , Takahiro Kubota , Takahiro Nishinaka , Hiroaki Tanida

We find and thoroughly study new supergravity domain wall solutions which are holographic realizations of supersymmetry breaking strongly coupled gauge theories. We set ourselves in an N=2 gauged supergravity with a minimal content in order…

High Energy Physics - Theory · Physics 2015-11-18 Riccardo Argurio , Daniele Musso , Diego Redigolo

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…

High Energy Physics - Theory · Physics 2008-11-26 Ioannis Papadimitriou , Kostas Skenderis

We consider the holographic duality for a generic bulk theory of scalars coupled to gravity. By studying the fluctuations around Poincare invariant backgrounds with non-vanishing scalars, with the scalar and metric boundary conditions…

High Energy Physics - Theory · Physics 2008-11-26 Wolfgang Mueck

We investigate the holographic Renormalization Group (RG) flows and the critical phenomena that take place in the $QFT$'s dual to the d-dimensional cubic Quasi-Topological Gravity coupled to scalar matter. The knowledge of the corresponding…

High Energy Physics - Theory · Physics 2012-07-10 G. M. Sotkov , U. Camara dS

The holographic correspondence between 2d, N=2 quantum field theories and classical 4d, N=2 supergravity coupled to hypermultiplet matter is proposed. The geometrical constraints on the target space of the 4d, N=2 non-linear sigma-models in…

High Energy Physics - Theory · Physics 2009-10-31 Sergei V. Ketov

We study a set of examples of holographic duals to theories with spontaneous breaking of conformal invariance in different dimensions. The geometries are domain walls interpolating between two AdS spaces, with a non-trivial background…

High Energy Physics - Theory · Physics 2015-06-16 Carlos Hoyos , Uri Kol , Jacob Sonnenschein , Shimon Yankielowicz
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