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We give an elementary introduction to the recent solution of $N=2$ supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality.

High Energy Physics - Theory · Physics 2019-12-11 W. Lerche

We present a systematic and 'from the ground up' analysis of the 'minimal coupling' type of gauging of Yang-Mills symmetries in (2,2)-supersymmetric 1+1-dimensional spacetime. Unlike in the familiar 3+1-dimensional N=1 supersymmetric case,…

High Energy Physics - Theory · Physics 2009-09-25 Raja Q. Almukahhal , Tristan Hubsch

We employ the harmonic superspace methods to study a six-dimensional $\mathcal{N}=(1,0)$ supersymmetric gauge theory with higher derivatives coupled to a hypermultiplet in the adjoint representation. By introducing a novel non-minimal…

High Energy Physics - Theory · Physics 2026-05-20 I. L. Buchbinder , A. S. Budekhina , E. A. Ivanov , K. V. Stepanyantz

We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. The superficial degree of divergence is evaluated and the structure of possible…

High Energy Physics - Theory · Physics 2016-12-21 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

Noncommutative ${\cal N}=1$ and ${\cal N}=2$ supersymmetric Yang-Mills theories with gauge group U(N) are studied here using the background field method and superspace background covariant D-algebra in perturbation theory. At one loop…

High Energy Physics - Theory · Physics 2014-11-18 Daniela Zanon

We consider noncommutative {\cal N}=4 supersymmetric U(N) Yang-Mills theory. Using the {\cal N}=1 superfield formalism and the background field method we compute one-loop four point contributions to the effective action and compare the…

High Energy Physics - Theory · Physics 2009-10-31 Daniela Zanon

We describe the Higgs mechanism for general N=2 super Yang-Mills theories in a manifestly supersymmetric form based on the harmonic superspace.

High Energy Physics - Theory · Physics 2009-10-30 Norbert Dragon , Sergei Kuzenko

Following a previous work on Abelian (2,0)-gauge theories, one reassesses here the task of coupling (2,0) relaxed Yang-Mills superpotentials to a (2,0)- nonlinear $\sigma$-model, by gauging the isotropy or the isometry group of the latter.…

High Energy Physics - Theory · Physics 2009-11-07 M. S. Goes-Negrao , J. A. Helayel-Neto , and M. R. Negrao

We consider the (1+1)-dimensional ${\cal N}=(2,2)$ super Yang--Mills theory which is obtained by dimensionally reducing ${\cal N}=1$ super Yang--Mills theory in four dimension to two dimensions. We do our calculations in the large-$N_c$…

High Energy Physics - Theory · Physics 2009-11-10 Motomichi Harada , John R. Hiller , Stephen Pinsky , Nathan Salwen

We investigate N=1 super Yang-Mills theory using fractional branes. We first define the beta-function with respect to a supergravity coordinate. To provide the relation between the supergravity parameter and the renormalization group scale…

High Energy Physics - Theory · Physics 2010-04-05 Raffaele Marotta , Francesco Sannino

We give a simple introduction to ordinary and conformal supergravity, and write their actions as squares of curvatures.

High Energy Physics - Theory · Physics 2007-05-23 Peter van Nieuwenhuizen

We consider N=4 supersymmetric Yang-Mills theory formulated in terms of N=2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N=2 supersymmetric effective action depending on N=2…

High Energy Physics - Theory · Physics 2015-06-26 I. L. Buchbinder

After a short introduction on the theory of homogeneous algebras we describe the application of this theory to the analysis of the cubic Yang-Mills algebra, the quadratic self-duality algebras, their "super" versions as well as to some…

Mathematical Physics · Physics 2007-05-23 Alain Connes , Michel Dubois-Violette

We conjecture a simple relationship between the one-loop maximally helicity violating gluon amplitudes of ordinary QCD (all helicities identical) and those of N=4 supersymmetric Yang-Mills (all but two helicities identical). Because the…

High Energy Physics - Theory · Physics 2009-07-09 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

We bootstrap loop corrections to AdS${}_5$ supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. In particular this yields much…

High Energy Physics - Theory · Physics 2018-02-14 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We provide two derivations of the one-loop dual conformal anomaly of generic n-point superamplitudes in maximally supersymmetric Yang-Mills theory. Our proofs are based on simple applications of unitarity, and the known analytic properties…

High Energy Physics - Theory · Physics 2009-11-09 Andreas Brandhuber , Paul Heslop , Gabriele Travaglini

Pure gravity and gauge theories in two dimensions are shown to be special cases of a much more general class of field theories each of which is characterized by a Poisson structure on a finite dimensional target space. A general scheme for…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. Schaller , T. Strobl

We describe various aspects of two-dimensional $N=2$ supergravity in superspace. We present the solution to the constraints in terms of unconstrained prepotentials, and the different superspace measures (full and chiral) used in the…

High Energy Physics - Theory · Physics 2007-05-23 M. T. Grisaru , M. E. Wehlau

The cosmological compactification of D=10, N=1 supergravity-super-Yang-Mills theory obtained from superstring theory is studied. The constraint of unbroken N=1 supersymmetry is imposed. A duality transformation is performed on the resulting…

High Energy Physics - Theory · Physics 2009-10-30 H. K. Jassal , A. Mukherjee , R. P. Saxena

Starting from the Maldacena-Nunez supergravity dual of N=1 super Yang-Mills theory we study the inclusion of a supersymmetry breaking gaugino mass term. We consider a class of non supersymmetric deformations of the MN solutions which have…

High Energy Physics - Theory · Physics 2009-11-07 N. Evans , M. Petrini , A. Zaffaroni
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