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We generalize the results of Polchinski and Strassler regarding the N=1-preserving mass deformation of N=4 SU(N) SYM theories and its string theory dual to SO(N) and USp(2N) gauge groups. The string theory duals involve 5-branes wrapped on…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Arvind Rajaraman

We consider supersymmetric Sp(2N) gauge theories with F matter fields in the defining representation, one matter field in the adjoint representation, and no superpotential. We construct a sequence of dual descriptions of this theory using…

High Energy Physics - Theory · Physics 2009-10-30 Markus A. Luty , Martin Schmaltz , John Terning

We study N=1 four dimensional gauge theories as the world volume theory of D4-branes between NS 5-branes. We find constructions for a number of known field theory dualities involving $SU(N_c)\times SU(N_c')$ groups, coupled by matter fields…

High Energy Physics - Theory · Physics 2009-10-30 John H. Brodie , Amihay Hanany

We introduce a computational technique for studying non-supersymmetric deformations of domain wall solutions of interest in AdS/CFT. We focus on the Klebanov-Strassler solution, which is dual to a confining gauge theory. From an analysis of…

High Energy Physics - Theory · Physics 2009-11-07 Vadim Borokhov , Steven S. Gubser

In the past decade we have witnessed remarkable developments in the gauge-gravity duality, which suggested a new approach to superstring theory and quantum space-time. In this context it is important to study supersymmetric large-N gauge…

High Energy Physics - Lattice · Physics 2010-11-05 Jun Nishimura

We investigate and contrast the non-perturbative infra red structure of N=1 and N=2 supersymmetric non-compact U(1) gauge field theory in three space-time dimensions with N matter flavours. We study the Dyson-Schwinger equations in a…

High Energy Physics - Theory · Physics 2016-08-25 A. Campbell-Smith , N. E. Mavromatos

We deploy algebraic complexity theoretic techniques for constructing symmetric determinantal representations of for00504925mulas and weakly skew circuits. Our representations produce matrices of much smaller dimensions than those given in…

Computational Complexity · Computer Science 2012-10-24 Bruno Grenet , Erich Kaltofen , Pascal Koiran , Natacha Portier

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

We extend the recently constructed double field theory formulation of the low-energy theory of the closed bosonic string to the heterotic string. The action can be written in terms of a generalized metric that is a covariant tensor under…

High Energy Physics - Theory · Physics 2011-06-29 Olaf Hohm , Seung Ki Kwak

We study dynamics of two-dimensional non-abelian gauge theories with N=(0,2) supersymmetry that include N=(0,2) supersymmetric QCD and its generalizations. In particular, we present the phase diagram of N=(0,2) SQCD and determine its…

High Energy Physics - Theory · Physics 2014-04-23 Abhijit Gadde , Sergei Gukov , Pavel Putrov

We study the superstring theory with an Abelian worldsheet gauge field. The components of the gauge field appear as a space and a time coordinates. We call them as "fictitious coordinates". The worldsheet supersymmetry and the Poincar\'e…

High Energy Physics - Theory · Physics 2011-02-09 Davoud Kamani

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

We provide N=1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass…

High Energy Physics - Theory · Physics 2010-02-05 Nicola Maggiore , Olivier Piguet , Sylvain Wolf

We study N = 2 supersymmetric gauge theories with gauge group SU(2) coupled to fundamental flavours, covering all asymptotically free and conformal cases. We re-derive, from the conformal field theory perspective, the differential equations…

High Energy Physics - Theory · Physics 2016-08-24 Sujay K. Ashok , Dileep P. Jatkar , Renjan R. John , Madhusudhan Raman , Jan Troost

Combining the semi-classical localization mechanism for gauge fields with $N$ domain wall background in a simple $SU(N)$ gauge theory in five space-time dimensions we investigate the geometric Higgs mechanism, where a spontaneous breakdown…

High Energy Physics - Theory · Physics 2019-12-06 Masato Arai , Filip Blaschke , Minoru Eto , Norisuke Sakai

We construct the ${\cal N}=1$ supersymmetric extension of Double Field Theory for Riemannian and the non-Riemannian in a unified approach. The inclusion of fermions in the double geometry force us to use the generalized frame formalism to…

High Energy Physics - Theory · Physics 2022-12-29 Eric Lescano

In this note we construct self-dual cosmic strings from a gauge field theory with a generalized linear formation of potential energy density. By integrating the Einstein equation, we obtain a nonlinear elliptic equation which is equal with…

Mathematical Physics · Physics 2023-09-12 Lei Cao , Shouxin Chen

We propose a general way to complete supersymmetric theories with operators below the unitarity bound, adding gauge-singlet fields which enforce the decoupling of such operators. This makes it possible to perform all usual computations, and…

High Energy Physics - Theory · Physics 2017-12-27 Sergio Benvenuti , Simone Giacomelli

Dual decomposition approaches in nonconvex optimization may suffer from a duality gap. This poses a challenge when applying them directly to nonconvex problems such as MAP-inference in a Markov random field (MRF) with continuous state…

Optimization and Control · Mathematics 2022-05-17 Hartmut Bauermeister , Emanuel Laude , Thomas Möllenhoff , Michael Moeller , Daniel Cremers

We consider a deformation of N=1 supersymmetric gauge theories in four dimensions, which we call the C-deformation, where the gluino field satisfies a Clifford-like algebra dictated by a self-dual two-form, instead of the standard…

High Energy Physics - Theory · Physics 2009-09-17 Hirosi Ooguri , Cumrun Vafa
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