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We discuss bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. We begin by finding convergence conditions for the partition and correlation functions. Moving on, we specialise to the SU(N) models with…

High Energy Physics - Theory · Physics 2007-05-23 Peter Austing

We review a number of old and new concepts in quantum gauge theories, some of which are well established but not widely appreciated, some are most recent. Such concepts involve non-commutative gauge theories and their relation to the…

High Energy Physics - Theory · Physics 2015-07-09 Marco Bochicchio

Supergravity provides the effective field theories for string compactifications. The deformation of the maximal supergravities by non-abelian gauge interactions is only possible for a restricted class of charges. Generically these…

High Energy Physics - Theory · Physics 2009-11-13 Bernard de Wit , Maaike van Zalk

Four-dimensional N=4 super Yang-Mills, with a codimension-one defect breaking half of the supersymmetry, arises as the field theory description of the D3/D5 intersection in the holographic limit. This is one of the earliest, most…

High Energy Physics - Theory · Physics 2022-12-28 Sophia K. Domokos , Andrew B. Royston

I study the spontaneous breakdown of supersymmetry when higher-dimensional Yang-Mills or the type-I $SO(32)$ string theory are compactified on magnetized tori. Because of the universal gyromagnetic ratio $g=2$, the splittings of all…

High Energy Physics - Theory · Physics 2016-09-06 C. Bachas

We study deformation of N=2 and N=4 super Yang-Mills theories, which are obtained as the low-energy effective theories on the (fractional) D3-branes in the presence of constant Ramond-Ramond 3-form background. We calculate the Lagrangian at…

High Energy Physics - Theory · Physics 2009-04-17 Katsushi Ito , Hiroaki Nakajima , Shin Sasaki

We study large N SU(N) Yang-Mills theory in three and four dimensions using a one-parameter family of supergravity models which originate from non-extremal rotating D-branes. We show explicitly that varying this "angular momentum" parameter…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Yaron Oz , Jorge Russo , John Terning

Fundamental theories, like strings, supergravity, Kaluza-Klein, lead after dimensional reduction and a suitable choice of field configurations, to an effective action in four dimensions where gravity is coupled non-mininally to one scalar…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Julio C. Fabris

Commutative four dimensional supersymmetric Yang-Mills (SYM) is known to be renormalizable for ${\mathcal N} = 1, 2$, and finite for ${\mathcal N} = 4$. However, in the noncommutative version of the model the UV/IR mechanism gives rise to…

High Energy Physics - Theory · Physics 2009-11-10 A. F. Ferrari , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. A. Ribeiro , V. O. Rivelles , A. J. da Silva

We study N=4 supersymmetric Yang-Mills (SYM) theory with gauge group SU(2) compactified to three dimensions on a circle of circumference beta. The eight fermion terms in the effective action on the Coulomb branch are determined exactly, for…

High Energy Physics - Theory · Physics 2010-11-19 Nick Dorey

We determine the one-loop deformation of the conformal symmetry of a general N}=2 superconformally invariant Yang-Mills theory. The deformation is computed for several explicit examples which have a realization as world-volume theories on a…

High Energy Physics - Theory · Physics 2009-11-07 S. M. Kuzenko , I. N. McArthur , S. Theisen

We give a physical interpretation for the analytic continuation of the partition function of superconformal SU$(2)$ $\mathcal{N}=2$ gauge theory on the four-sphere to all values of the Yang-Mills coupling. We show that a well-motivated 2d…

High Energy Physics - Theory · Physics 2026-02-06 Inês Aniceto , James Ratcliffe , Itamar Yaakov

The AdS/CFT correspondence enables us to probe M-theory on various backgrounds from the corresponding dual gauge theories. Here we investigate in detail a three-dimensional U(N) N=4 super Yang-Mills theory coupled to one adjoint…

High Energy Physics - Theory · Physics 2015-06-22 Yasuyuki Hatsuda , Kazumi Okuyama

We construct a gauge invariant regularisation scheme for pure SU(N) Yang-Mills theory in fixed dimension four or less (for N = infinity in all dimensions), with a physical cutoff scale Lambda, by using covariant higher derivatives and…

High Energy Physics - Theory · Physics 2009-11-07 Stefano Arnone , Yuri A. Kubyshin , Tim R. Morris , John F. Tighe

It is argued that N=6 supergravity on $AdS_5$, with gauge group $SU(3)\times U(1)$ corresponds, at the classical level, to a subsector of the ``chiral'' primary operators of N=4 Yang-Mills theories. This projection involves a ``duality…

High Energy Physics - Theory · Physics 2007-05-23 S. Ferrara , M. Porrati , A. Zaffaroni

We analyze fermionic response in the geometry holographically dual to zero-temperature N=4 Super-Yang-Mills theory with two equal nonvanishing chemical potentials, which is characterized by a singular horizon and zero ground state entropy.…

High Energy Physics - Theory · Physics 2015-03-05 Oliver DeWolfe , Steven S. Gubser , Christopher Rosen

Compactified Yang-Mills theories with one universal extra dimension were found [arXiv:1008.4638] to exhibit two types of gauge invariances: the standard gauge transformations (SGTs) and the nonstandard gauge transformations (NSGTs). In the…

High Energy Physics - Phenomenology · Physics 2013-11-01 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

The application of N=2 supersymmetric quantum mechanics for the quantization of homogeneous systems coupled with gravity is discussed. Starting with the superfield formulation of an N=2 SUSY sigma model, Hermitian self-adjoint expressions…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. E. Donets , M. N. Tentyukov , M. M. Tsulaia

We study deformations of ${\cal N}=4$ supersymmetric Yang-Mills theory with space-time dependent couplings by embedding probe D3-branes in supergravity backgrounds with non-trivial fluxes. The effective action on the world-volume of the…

High Energy Physics - Theory · Physics 2018-04-18 Jaewang Choi , Jose J. Fernandez-Melgarejo , Shigeki Sugimoto

In this paper we continue the programme of topologically twisting N=2 theories in D=4, focusing on the coupling of vector multiplets to N=2 supergravity. We show that in the minimal case, namely when the special geometry prepotential F(X)…

High Energy Physics - Theory · Physics 2010-11-02 Damiano Anselmi , Pietro Fre'
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