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We study renormalization group flows between six-dimensional superconformal field theories (SCFTs) using their geometric realizations as singular limits of F-theory compactified on elliptically fibered Calabi-Yau threefolds. There are two…

High Energy Physics - Theory · Physics 2015-08-27 Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa

We extend the results on the RG flow in the next to leading order to the case of the supersymmetric minimal models SM_p for p>> 1. We explain how to compute the NS and Ramond fields conformal blocks in the leading order in 1/p and follow…

High Energy Physics - Theory · Physics 2015-06-19 Changrim Ahn , Marian Stanishkov

We show how supersymmetric QCD in a slice of AdS can naturally acquire metastable vacua. The formulation closely follows that of Intriligator, Seiberg and Shih (ISS), with an "electric" sector on the UV brane and a "magnetic" sector on the…

High Energy Physics - Theory · Physics 2014-11-20 Steven Abel , Felix Brümmer

We consider one of the well-known solutions in eleven-dimensional supergravity where the seven-dimensional Einstein space is given by a SO(3)-bundle over the CP^2. By reexaming the AdS_4 supergravity scalar potential, the holographic…

High Energy Physics - Theory · Physics 2009-02-12 Changhyun Ahn

We continue the study of the renormalization group and decoupling of massive fields in curved space, started in the previous article and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro

We discuss the following proposition: Renormalization Group flow of quantum theory with a biased symmetry exhibits a fixed hypersurface at which the symmetry is exact. Such emergent symmetries may have important phenomenological…

High Energy Physics - Theory · Physics 2024-06-21 Zurab Berezhiani , Maicol Di Giambattista , Alessio Maiezza , Archil Kobakhidze

Renormalization-group (RG) flow equations have been derived for the generalized sine-Gordon model (GSGM) and the Coulomb gas (CG) in d >= 3 of dimensions by means of Wegner's and Houghton's, and by way of the real-space RG approaches. The…

High Energy Physics - Theory · Physics 2009-11-10 I. Nandori , U. D. Jentschura , K. Sailer , G. Soff

We discuss how electromagnetically dualizing a 1-form to a 2-form in AdS$_5$ exchanges regular and alternate boundary conditions, and thus gauges the originally global $U(1)$ symmetry in the dual field theory. The generalized symmetry…

High Energy Physics - Theory · Physics 2021-01-20 Oliver DeWolfe , Kenneth Higginbotham

The functional renormalization group flow of a scalar field theory with quartic couplings and a sharp spatial momentum cutoff is presented in four-dimensional Minkowski space-time for the bare action by retaining the entanglement of the IR…

High Energy Physics - Theory · Physics 2022-02-16 S. Nagy , J. Polonyi

Implementing the Wilsonian renormalization group (RG) transformation in a nonperturbative way, we construct an effective holographic dual description with an emergent extradimension identified with an RG scale. Taking the large$-N$ limit,…

High Energy Physics - Theory · Physics 2023-03-09 Ki-Seok Kim , Mitsuhiro Nishida , Yoonseok Choun

We study the effects of holographic renormalisation on an AdS/QCD inspired description of dynamical electroweak symmetry breaking. Our model is a 5D slice of AdS_5 geometry containing a bulk scalar and SU(2) times SU(2) gauge fields. The…

High Energy Physics - Phenomenology · Physics 2010-10-12 Mark Round

We propose a local renormalization group procedure where length scale is changed in spacetime dependent way. Combining this scheme with an earlier observation that high energy modes in renormalization group play the role of dynamical…

High Energy Physics - Theory · Physics 2012-11-02 Sung-Sik Lee

We develop parallels between the holographic renormalization group in the bulk and the Wilsonian renormalization group in the dual field theory. Our philosophy differs from most previous work on the holographic RG; the most notable feature…

High Energy Physics - Theory · Physics 2015-03-17 Idse Heemskerk , Joseph Polchinski

We set up the Functional Renormalisation Group formalism for Tensorial Group Field Theory in full generality. We then apply it to a rank-3 model over U(1) x U(1) x U(1), endowed with a linear kinetic term and nonlocal interactions. The…

High Energy Physics - Theory · Physics 2015-07-09 Dario Benedetti , Joseph Ben Geloun , Daniele Oriti

We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully compute one- and two-point functions of the…

High Energy Physics - Theory · Physics 2009-11-07 Massimo Bianchi , Daniel Z. Freedman , Kostas Skenderis

We review some of our recent results concerning the relationship between the Real-Space Renormalization Group method and Quantum Groups. We show this relation by applying real-space RG methods to study two quantum group invariant…

High Energy Physics - Theory · Physics 2016-11-03 Miguel A. Martin-Delgado , German Sierra

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

The F theorem states that, for a unitary three dimensional quantum field theory, the F quantity defined in terms of the partition function on a three sphere is positive, stationary at fixed point and decreases monotonically along a…

High Energy Physics - Theory · Physics 2016-04-26 Marika Taylor , William Woodhead

We present an overview of the Density Matrix Renormalization Group and its connections to Quantum Groups, Matrix Products and Conformal Field Theory. We emphasize some common formal structures in all these theories. We also propose…

Strongly Correlated Electrons · Physics 2007-05-23 G. Sierra , M. A. Martin-Delgado

An example of the holographic correspondence between 2d, N=2 quantum field theories and classical 4d, N=2 supergravity theories is found. The constraints on the target space geometry of the 4d, N=2 non-linear sigma-models in N=2…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov