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We use holography and four-dimensional $\,\mathcal{N}=4\,$ gauged supergravity to collect evidence for a large class of interconnected three-dimensional $\,\mathcal{N}=2\,$ conformal field theories. On the gravity side, we construct a…

High Energy Physics - Theory · Physics 2023-09-12 Miguel Chamorro-Burgos , Adolfo Guarino , Colin Sterckx

We derive a covariant expression for the renormalized holographic entanglement entropy for Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This expression is written as the sum of the bare…

High Energy Physics - Theory · Physics 2021-10-04 Giorgos Anastasiou , Ignacio J. Araya , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

The holographic RG flow in AdS/CFT correspondence naturally defines a holographic scheme in which the central charge c and the beta function are related by a universal formula. We perform some checks of that formula and we compare it with…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi , L. Girardello , M. Porrati , A. Zaffaroni

The holographic renormalization group flows associated with marginally relevant operators are analyzed. The associated perturbative and non-perturbative beta-functions are calculated and the consistent scalar potentials are identified. The…

High Energy Physics - Theory · Physics 2015-06-17 Jun Bourdier , Elias Kiritsis

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

We investigate the entanglement entropy of a two-dimensional disordered system holographically. In particular, we study the evolution of the entanglement entropy along renormalization group flows for a conformal theory at the UV fixed…

High Energy Physics - Theory · Physics 2019-03-06 Rajesh Narayanan , Chanyong Park , Yun-Long Zhang

We develop the formalism of holographic renormalization to compute two-point functions in a holographic Kondo model. The model describes a $(0+1)$-dimensional impurity spin of a gauged $SU(N)$ interacting with a $(1+1)$-dimensional,…

High Energy Physics - Theory · Physics 2017-03-24 Johanna Erdmenger , Carlos Hoyos , Andy O'Bannon , Ioannis Papadimitriou , Jonas Probst , Jackson M. S. Wu

In this work, we study the $\frac{1}{8}$-BPS heavy-heavy-light-light correlators in the D1D5 CFT and its holographic dual. On the field theory side, we compute the fermionic four-point correlators at the free orbifold point. On the dual…

High Energy Physics - Theory · Physics 2019-10-23 Jia Tian , Jue Hou , Bin Chen

We provide a comprehensive overview of the current status of higher-codimension defect systems. We review the holographic description and field theoretic properties of codimension-2 defects within the framework of defect Conformal Field…

High Energy Physics - Theory · Physics 2026-05-15 George Georgiou , Dimitrios Zoakos

We explore the notion of $c$-functions in renormalization group flows between theories in different spacetime dimensions. We discuss functions connecting central charges of the UV and IR fixed point theories on the one hand, and functions…

High Energy Physics - Theory · Physics 2022-10-13 Alfredo González Lezcano , Junho Hong , James T. Liu , Leopoldo A. Pando Zayas , Christoph F. Uhlemann

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms.…

High Energy Physics - Theory · Physics 2011-02-04 Robert C. Myers , Aninda Sinha

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

The holographic description of supersymmetric RG flows in supergravity is considered from both the five-dimensional and ten-dimensional perspectives. An N=1* flow of N=4 super-Yang Mills is considered in detail, and the infra-red limit is…

High Energy Physics - Theory · Physics 2009-10-31 Nicholas P. Warner

Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state. Such a…

High Energy Physics - Theory · Physics 2021-01-05 Stefano Giusto , Sami Rawash , David Turton

We study holographic renormalization group flows from four-dimensional $\mathcal{N}=2$ SCFTs to either $\mathcal{N}=2$ or $\mathcal{N}=1$ SCFTs. Our approach is based on the framework of five-dimensional half-maximal supergravity with…

High Energy Physics - Theory · Physics 2018-06-21 Nikolay Bobev , Davide Cassani , Hagen Triendl

The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass…

High Energy Physics - Theory · Physics 2009-03-24 Changhyun Ahn

We present an explicit study of the holographic renormalization group (RG) in six dimensions using minimal gauged supergravity. By perturbing the theory with the addition of a relevant operator of dimension four one flows to a…

High Energy Physics - Theory · Physics 2014-11-18 Vanicson L. Campos , Gabriele Ferretti , Henric Larsson , Dario Martelli , Bengt E. W. Nilsson

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings…

High Energy Physics - Theory · Physics 2010-06-01 Alex Buchel , Jorge Escobedo , Robert C. Myers , Miguel F. Paulos , Aninda Sinha , Michael Smolkin

We review some aspects of the AdS supergravity description of RG flows. The case of a flow to an IR CFT can be rigorously studied within the framework of supergravity. Here we discuss various central charges of the conformal theory…

High Energy Physics - Theory · Physics 2009-09-25 M. Petrini , A. Zaffaroni

We study the coupled equations describing fluctuations of scalars and the metric about background solutions of N=8 gauged supergravity which are dual to boundary field theories with renormalization group flow. For the case of a kink…

High Energy Physics - Theory · Physics 2007-05-23 Oliver DeWolfe , Daniel Z. Freedman