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In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we…

High Energy Physics - Theory · Physics 2019-07-11 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

We consider the effective superpotential of N=2, U(N) gauge model where N=2 supersymmetry is spontaneously broken to N=1. By the computation of loop diagrams, we obtain a formula for the effective superpotential which is deformed from the…

High Energy Physics - Theory · Physics 2007-10-12 Kazunobu Maruyoshi

We study N=1 supersymmetric U(N) gauge theory coupled to an adjoint scalar superfiled with a cubic superpotential containing a multi trace term. We show that the field theory results can be reproduced from a matrix model which its potential…

High Energy Physics - Theory · Physics 2010-12-03 Mohsen Alishahiha , Hossein Yavartanoo

In this paper we discuss the contribution of planar diagrams to gravitational F-terms for N=1 supersymmetric gauge theories admitting a large N description. We show how the planar diagrams lead to a universal contribution at the extremum of…

High Energy Physics - Theory · Physics 2009-11-10 R. Dijkgraaf , M. T. Grisaru , H. Ooguri , C. Vafa , D. Zanon

The matrix model computations of effective superpotential terms in N=1 supersymmetric gauge theories in four dimensions have been proposed to apply more generally to gauge theories in higher dimensions. We discuss aspects of…

High Energy Physics - Theory · Physics 2007-05-23 Martijn Wijnholt

The multi-level algorithm allows, at least for pure gauge theories, reliable measurement of exponentially small expectation values. The implementation of the algorithm depends strongly on the observable one wants to measure. Here we report…

High Energy Physics - Lattice · Physics 2015-06-25 P. Majumdar , Y. Koma , M. Koma

We consider the effective superpotentials of N=1 SU(N_c) and U(N_c) supersymmetric gauge theories that are obtained from the N=2 theory by adding a tree-level superpotential. We show that several of the techniques for computing the…

High Energy Physics - Theory · Physics 2007-05-23 Kristian D. Kennaway , Nicholas P. Warner

We study the 1/N expansion in the recently proposed model of the lattice gauge theory induced by heavy scalar field in adjoint representation. In the first approximation the fluctuations of the density of eigenvalues of the scalar field are…

High Energy Physics - Lattice · Physics 2009-10-22 A. A. Migdal

We compute the mass spectrum of glueball excitations of a special class of strongly-coupled field theories via their type-IIB supergravity dual. We focus on two subclasses of backgrounds, which have different UV-asymptotics, but both of…

High Energy Physics - Theory · Physics 2015-06-22 Daniel Elander , Maurizio Piai

We perform a completely perturbative matrix model calculation of the physical low-energy quantities of the N=2 U(N) gauge theory. Within the matrix model framework we propose a perturbative definition of the periods a_i in terms of certain…

High Energy Physics - Theory · Physics 2008-11-26 S. Naculich , H. Schnitzer , N. Wyllard

In this paper we explore the large N limit of the glueball mass spectrum for 2+1 dimensional pure gauge theory. We employ Hamiltonian lattice gauge theory (LGT) and analytic variational techniques to calculate glueball masses for finite…

High Energy Physics - Lattice · Physics 2007-05-23 Jesse Carlsson , Bruce H. J. McKellar

Using the result of a matrix model computation of the exact glueball superpotential, we investigate the relevant mass perturbations of the Leigh-Strassler marginal ``q'' deformation of N=4 supersymmetric gauge theory. We recall a conjecture…

High Energy Physics - Theory · Physics 2009-11-07 Timothy J. Hollowood

We discuss integrating out matter fields and integrating in matter fields in four dimensional supersymmetric gauge theories. Highly nontrivial exact superpotentials can be easily obtained by starting from a known theory and integrating in…

High Energy Physics - Theory · Physics 2011-07-19 Ken Intriligator

We present the exact effective superpotentials in $4d$, $N=1$ supersymmetric $SU(2)$ gauge theories with $N_3$ triplets and $N_2$ doublets of matter superfields. For the theories with a single triplet matter superfield we present the exact…

High Energy Physics - Theory · Physics 2009-10-28 S. Elitzur , A. Forge , A. Giveon , E. Rabinovici

A scalar model of glueball is considered. The model is based on two scalar fields approximation for SU(3) non-Abelian Lagrangian. The approach to approximation makes use of the assumption that 2 and 4-points Green's functions are described…

High Energy Physics - Phenomenology · Physics 2016-05-06 Vladimir Dzhunushaliev , Arislan Makhmudov

The previously developed renormalizable perturbative 1/N-expansion in higher dimensional scalar field theories is extended to gauge theories with fermions. It is based on the $1/N_f$-expansion and results in a logarithmically divergent…

High Energy Physics - Theory · Physics 2007-05-23 D. I. Kazakov , G. S. Vartanov

In the context of the gauge-string correspondence, we discuss the spontaneous partial breaking of supersymmetry. Starting from the orbifold of S^5, supersymmetry breaking leads us to consider the (resolved) conifold background and some of…

High Energy Physics - Theory · Physics 2008-11-26 P. Merlatti

We analyze perturbative aspects of gauged matrix models, including those where classically the gauge symmetry is partially broken. Ghost fields play a crucial role in the Feynman rules for these vacua. We use this formalism to elucidate the…

High Energy Physics - Theory · Physics 2009-11-07 Robbert Dijkgraaf , Sergei Gukov , Vladimir A. Kazakov , Cumrun Vafa

We obtain the spectrum of glueball masses for the N=1 non-conformal cascade theory whose supergravity dual was recently constructed by Klebanov and Strassler. The glueball masses are calculated by solving the supergravity equations of…

High Energy Physics - Theory · Physics 2009-10-31 Elena Caceres , Rafael Hernandez

According to Dijkgraaf and Vafa the effective glueball superpotential of the N=1 supersymmetric QCD coupled with an adjoint chiral multiplet is given by the planar amplitude in the 1/N expansion of a matrix model. It was shown that, when…

High Energy Physics - Theory · Physics 2011-07-19 Shogo Aoyama