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Gauge fields of mixed symmetry, corresponding to arbitrary representations of the local Lorentz group of the background spacetime, arise as massive modes in compactifications of superstring theories. We describe bosonic gauge field theories…

High Energy Physics - Theory · Physics 2009-11-10 Paul de Medeiros

In this thesis the recently developed duality covariant approach to string and M-theory is investigated. In this formalism the U-duality symmetry of M-theory or T-duality symmetry of Type II string theory becomes manifest upon extending…

High Energy Physics - Theory · Physics 2018-01-03 Edvard Musaev

We use ideas of generalized self-duality conditions to construct real scalar field theories in (1 + 1)-dimensions with exact self dual sectors. The approach is based on a pre-potential U that defines the topological charge and the potential…

High Energy Physics - Theory · Physics 2019-01-30 L. A. Ferreira , P. Klimas , Wojtek J. Zakrzewski

We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that…

High Energy Physics - Theory · Physics 2010-12-03 Gaetano Bertoldi , Timothy J. Hollowood , J. Luis Miramontes

We consider the vacuum structure of the finite N=2 theory with N_f=2N fundamental hypermultiplets broken to N=1 by a superpotential for the adjoint chiral multiplet. We do this in two ways: firstly, by compactification to three dimensions,…

High Energy Physics - Theory · Physics 2010-12-03 Timothy J. Hollowood , Kazutoshi Ohta

We discuss gauge-mediated models which employ a tree-level mass term in the superpotential. We give explicit composite realizations in which the mass terms are not fundamental. Instead, they arise as effective terms in the superpotential…

High Energy Physics - Phenomenology · Physics 2009-09-15 Csaba Csaki , Lisa Randall , Witold Skiba

We study the large $N$ limit of the class of U(N) ${\CN}=1$ SUSY gauge theories with an adjoint scalar and a superpotential $W(\P)$. In each of the vacua of the quantum theory, the expectation values $\la$Tr$\Phi^p$$\ra$ are determined by a…

High Energy Physics - Theory · Physics 2010-02-03 Rajesh Gopakumar

We build a matrix model of a chiral [SU(N)]^K gauge theory (5D SQCD deconstructed down to 4D) using random unitary matrices to model chiral bifundamental fields (N,N-bar) (without (N-bar,N)). We verify the duality by matching the loop…

High Energy Physics - Theory · Physics 2009-11-11 Edoardo Di Napoli , Vadim S. Kaplunovsky

S-matrices can be written Lorentz covariantly in terms of free field strengths for vector states, allowing arbitrary gauge choices. In string theory the vertex operators can be chosen so this gauge invariance is automatic. As examples we…

High Energy Physics - Theory · Physics 2009-11-10 Haidong Feng , Warren Siegel

In this letter, we reconsider the delicate issue of symmetry and supersymmetry breakings for gauge theories with gauge-field mixings. The purpose is to study generalyzed potentials in the presence of more than a single gauge potential. In…

High Energy Physics - Theory · Physics 2007-05-23 Cristine N. Ferreira , Helder Chavez , Jose A. Helayel-Neto

The Green-Schwarz action for an open superstring with additional boundary fermions, representing Chan-Paton factors, is studied at the classical level. The boundary geometry is described by a bundle, with fermionic fibres, over the super…

High Energy Physics - Theory · Physics 2009-11-11 P. S. Howe , U. Lindstrom , L. Wulff

The proposed coordinate/field duality [Phys. Rev. Lett. 78 (1997) 163] is applied to the gauge and matter sectors of gauge theories. In the non-Abelian case, due to indices originated from the internal space, the dual coordinates appear to…

General Physics · Physics 2016-01-27 Amir H. Fatollahi

We present gauge theory completions of Wess-Zumino models admitting supersymmetry breaking vacua with spontaneously broken R-symmetry. Our models are simple deformations of generalized ITIY models, a supersymmetric theory with gauge group…

High Energy Physics - Theory · Physics 2012-12-19 Matteo Bertolini , Lorenzo Di Pietro , Flavio Porri

Given a hypergraph G, we introduce a Grassmann algebra over the vertex set, and show that a class of Grassmann integrals permits an expansion in terms of spanning hyperforests. Special cases provide the generating functions for rooted and…

Mathematical Physics · Physics 2008-11-26 Sergio Caracciolo , Alan D. Sokal , Andrea Sportiello

We derive the Veneziano-Yankielowicz superpotential directly from the matrix model by fixing the measure precisely. The essential requirement here is that the effective superpotential of the matrix model corresponding to the ${\cal N}=4$…

High Energy Physics - Theory · Physics 2010-04-05 Hikaru Kawai , Tsunehide Kuroki , Takeshi Morita , Kensuke Yoshida

Starting from Gaussian random matrix models we derive a new supermatrix field theory model. In contrast to the conventional non-linear sigma models, the new model is applicable for any range of correlations of the elements of the random…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. E. Bunder , K. B. Efetov , V. E. Kravtsov , O. M. Yevtushenko , M. R. Zirnbauer

We point out two extensions of the relation between matrix models, topological strings and N=1 supersymmetric gauge theories. First, we note that by considering double scaling limits of unitary matrix models one can obtain large N duals of…

High Energy Physics - Theory · Physics 2010-04-05 Robbert Dijkgraaf , Cumrun Vafa

In this paper the $c=1$ string theory is studied from the point of view of topological field theories. Calculations are done for arbitrary genus. A change in the prescription is proposed, which reproduces the results of the $1/x^2$ deformed…

High Energy Physics - Theory · Physics 2009-10-28 Ulf H. Danielsson

We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for…

High Energy Physics - Theory · Physics 2010-11-19 Timothy J. Hollowood

We study the structure of the moduli spaces of vacua and superpotentials of N=2 supersymmetric gauge theories in three dimensions. By analyzing the instanton corrections, we compute the exact superpotentials and determine the quantum…

High Energy Physics - Theory · Physics 2009-09-29 Jan de Boer , Kentaro Hori , Yaron Oz