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As we re-examine the known holographic N=1 supersymmetric renormalization group flow in four dimensions, we describe the mass-deformed Bagger-Lambert theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory with level…

High Energy Physics - Theory · Physics 2011-03-02 Changhyun Ahn

We construct a three-dimensional geometry interpolating two different AdS spaces. From the dual quantum field theory viewpoint, it corresponds to a nontrivial renormalization group flow from a UV to another IR conformal field theory. On…

High Energy Physics - Theory · Physics 2018-12-27 Chanyong Park

We consider holographic RG flow solutions with eight supersymmetries and study the geometry transverse to the brane. For both M2-branes and for D3-branes in F-theory this leads to an eight-manifold with only a four-form flux. In both…

High Energy Physics - Theory · Physics 2010-02-03 Chethan N. Gowdigere , Nicholas P. Warner

Renormalization Group domain walls are natural conformal interfaces between two CFTs related by an RG flow. The RG domain wall gives an exact relation between the operators in the UV and IR CFTs. We propose an explicit algebraic…

High Energy Physics - Theory · Physics 2015-06-03 Davide Gaiotto

We study the Renormalization Group (RG) flow of critical bosonic background fields in the framework of the RG approach to string theory. In this approach quantum field theory beta-functions are the extra inputs in solving the string theory…

High Energy Physics - Theory · Physics 2009-10-31 Ian I. Kogan , Martin Schvellinger , Bayram Tekin

We construct and analyse infinite classes of regular supergravity backgrounds dual to four-dimensional superconformal field theories (SCFTs) compactified on a circle with a supersymmetry-preserving twist. These flows lead to…

High Energy Physics - Theory · Physics 2025-07-24 Dimitrios Chatzis , Madison Hammond , Georgios Itsios , Carlos Nunez , Dimitrios Zoakos

The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with $\phi^4$ self interaction coupled, via Yukawa coupling, to…

High Energy Physics - Theory · Physics 2015-06-26 Brian P. Dolan

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 M-theory lift of N=2 SU(3) x U(1)_R-invariant RG flow via a combinatorical use of the 4-dimensional flow and 11-dimensional Einstein-Maxwell equations was found previously. By taking the three internal coordinates differently and…

High Energy Physics - Theory · Physics 2014-11-20 Changhyun Ahn , Kyungsung Woo

We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a well-defined type II action for NS-sector linear dilaton backgrounds. Our methods are based on a…

High Energy Physics - Theory · Physics 2010-10-27 Donald Marolf , Amitabh Virmani

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

Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions. As in the case of matrix models for two-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Astrid Eichhorn , Tim Koslowski

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term…

High Energy Physics - Theory · Physics 2009-12-10 Changhyun Ahn

There has been much progress in recent years in understanding the existence problem for wave maps with small critical Sobolev norm (in particular for two-dimensional wave maps with small energy); a key aspect in that theory has been a…

Analysis of PDEs · Mathematics 2007-05-23 Terence Tao

Matrix quantum mechanics offers an attractive environment for discussing gravitational holography, in which both sides of the holographic duality are well-defined. Similarly to higher-dimensional implementations of holography, collapsing…

High Energy Physics - Theory · Physics 2017-02-14 Ben Craps , Oleg Evnin , Kévin Nguyen

In the context of the gauge/gravity duality, using the proposed candidate $c$-function, which is derived from the entanglement entropy of a strip-shaped region, we investigate the RG flow for $d+1$-dimensional quantum field theories with…

High Energy Physics - Theory · Physics 2022-09-20 Mostafa Ghasemi , Shahrokh Parvizi

A heavy quark moving through a strongly coupled deconfined plasma has a holographic dual description as a string moving in a black brane geometry. We apply the holographic Wilsonian renormalization method to derive a holographic effective…

High Energy Physics - Theory · Physics 2020-12-02 Diego Gutiez , Carlos Hoyos

We perform a holographic renormalization of cascading gauge theories. Specifically, we find the counter-terms that need to be added to the gravitational action of the backgrounds dual to the cascading theory of Klebanov and Tseytlin,…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Alex Buchel , Amos Yarom

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 $\mathrm{AdS}_d$ slicing ansatz and corresponds to a deformation…

High Energy Physics - Theory · Physics 2013-05-30 Michael Gutperle , Joshua Samani

Holographic RG flows are studied in an Einstein-dilaton theory with a general potential. The superpotential formalism is utilized in order to characterize and classify all solutions that are associated to asymptotically AdS space-times.…

High Energy Physics - Theory · Physics 2018-01-08 Elias Kiritsis , Francesco Nitti , Leandro Silva Pimenta