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We discuss reductions of general N=1 four dimensional gauge theories on S^2. The effective two dimensional theory one obtains depends on the details of the coupling of the theory to background fields, which can be translated to a choice of…

High Energy Physics - Theory · Physics 2020-04-21 Abhijit Gadde , Shlomo S. Razamat , Brian Willett

Extending recent work of Kachru and Silverstein, we consider ``orbifolds'' of 4-dimensional $\mathcal{N}=4$ SU(n) super-Yang-Mills theories with respect to discrete subgroups of the SU(4) $R$-symmetry which act nontrivially on the gauge…

High Energy Physics - Theory · Physics 2017-09-07 A. Lawrence , N. Nekrasov , C. Vafa

We construct type IIB supergravity duals of non-anticommutative deformed N = 4 SU(N) gauge theories. We consider in particular deformations preserving N = (1,0) and N = (1/2,0) supersymmetry. Such theories can be realised on N D3-branes in…

High Energy Physics - Theory · Physics 2010-02-03 Chong-Sun Chu , Shou-Huang Dai , Douglas J. Smith

Following arXiv:1310.2027 and arXiv:0801.0762, we consider a non-supersymmetric Seiberg duality between electric and magnetic "orientifold field theories". These theories live on brane configurations of type 0' string theory. In the…

High Energy Physics - Theory · Physics 2015-06-17 Adi Armoni

The supergravity dual of superconformal anomaly in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between the ${\cal N}=1$ $SU(N+M)\times SU(N)$ supersymmetric gauge theory…

High Energy Physics - Theory · Physics 2012-10-02 W. F. Chen

We prove a duality, recently conjectured in arXiv:1103.5726, which relates the F-terms of supersymmetric gauge theories defined in two and four dimensions respectively. The proof proceeds by a saddle point analysis of the four-dimensional…

High Energy Physics - Theory · Physics 2011-09-13 Heng-Yu Chen , Nick Dorey , Timothy J. Hollowood , Sungjay Lee

We introduce a diagramatic notation for supersymmetric gauge theories. The notation is a tool for exploring duality and helps to present the field content of more complicated models in a simple visual way. We introduce the notation with a…

High Energy Physics - Theory · Physics 2009-10-30 Nick Evans , Martin Schmaltz

A constraint correlation dynamics up to 4-point Green functions is proposed for SU(N) gauge theories which reduces the N-body quantum field problem to the two-body level. The resulting set of nonlinear coupled equations fulfills all…

Nuclear Theory · Physics 2015-06-26 S. J. Wang , W. Cassing , J. M. Haeuser , A. Peter , M. H. Thoma

Recently N. Seiberg has shown that certain N=1 supersymmetric Yang -- Mills theories have the property that their infrared physics can be equivalently described by {\it two different} gauge theories, with the strong coupling region of one…

High Energy Physics - Theory · Physics 2016-09-06 D. Kutasov

We consider the generators of gauge transformations with test functions which do not vanish on the boundary of a spacelike region of interest. These are known to generate the edge degrees of freedom in a gauge theory. In this paper, we…

High Energy Physics - Theory · Physics 2022-07-20 A. P. Balachandran , V. P. Nair , A. Pinzul , A. F. Reyes-Lega , S. Vaidya

We study the low energy behaviour of N=(2,2) supersymmetric gauge theories in 1+1 dimensions, with orthogonal and symplectic gauge groups and matters in the fundamental representation. We observe supersymmetry breaking in super-Yang-Mills…

High Energy Physics - Theory · Physics 2015-03-19 Kentaro Hori

A slice of AdS_5 is used to provide a 5D gravitational description of 4D strongly-coupled Seiberg dual gauge theories. An (electric) SU(N) gauge theory in the conformal window at large N is described by the 5D bulk, while its weakly coupled…

High Energy Physics - Theory · Physics 2011-01-27 Steven Abel , Tony Gherghetta

We construct a supergeometry based on S^2XS^2 on which four dimensional N=2 gauge theories can be placed supersymmetrically while preserving all supersymmetries. By embedding the supergeometry in four dimensional N=2 supergravity we are…

High Energy Physics - Theory · Physics 2014-11-19 Musema Sinamuli

We construct dual Lagrangians for $G/H$ models in two space-time dimensions for arbitrary Lie groups $G$ and $H\subset G$. Our approach does not require choosing coordinates on $G/H$, and allows for a natural generalization to Lie-Poisson…

High Energy Physics - Theory · Physics 2009-10-31 A. Stern

The main focus of this work is to study magnetic soft charges of the four dimensional Maxwell theory. Imposing appropriate asymptotic falloff conditions, we compute the electric and magnetic soft charges and their algebra both at spatial…

High Energy Physics - Theory · Physics 2018-08-21 V. Hosseinzadeh , A. Seraj , M. M. Sheikh-Jabbari

We study electric-magnetic duality in the chiral ring of a supersymmetric U(N_c) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic…

High Energy Physics - Theory · Physics 2010-02-03 Luca Mazzucato

Reconsideration of the T-duality of the open string allows us to introduce some geometric features in non-geometric theories. First, we have found what symmetry is T-dual to the local gauge transformations. It includes transformations of…

High Energy Physics - Theory · Physics 2018-09-14 Branislav Sazdovic

We study some dynamical aspects of gauge theories on noncommutative tori. We show that Morita duality, combined with the hypothesis of analyticity as a function of the noncommutativity parameter Theta, gives information about singular…

High Energy Physics - Theory · Physics 2009-11-07 L. Alvarez-Gaume , J. L. F. Barbon

We describe a ten dimensional supergravity geometry which is dual to a gauge theory that is non-supersymmetric Yang Mills in the infra-red but reverts to $N$=4 super Yang Mills in the ultra-violet. A brane probe of the geometry shows that…

High Energy Physics - Theory · Physics 2017-08-23 David E. Crooks , Nick Evans

We revisit a one-parameter family of three-dimensional gauge theories with known supergravity duals. We show that three infrared behaviors are possible. For generic values of the parameter, the theories exhibit a mass gap but no…

High Energy Physics - Theory · Physics 2017-08-02 Antón F. Faedo , David Mateos , David Pravos , Javier G. Subils