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We demonstrate that the planar real-$\beta$-deformed Super-Yang--Mills theory possesses an infinitely-dimensional Yangian symmetry algebra and thus is classically integrable. This is achieved by the introduction of the twisted coproduct…

High Energy Physics - Theory · Physics 2017-10-25 Aleksander Garus

A supersymmetric Yang-Mills system in (11,3) dimensions is constructed with the aid of two mutually orthogonal null vectors which naturally arise in a generalized spacetime superalgebra. An obstacle encountered in an attempt to extend this…

High Energy Physics - Theory · Physics 2009-10-30 Ergin Sezgin

We couple a recently-established N=1 globally supersymmetric self-dual Yang-Mills multiplet in three dimensions to supergravity. This becomes possible due to our previous result on globally supersymmetric formulation based on a compensator…

High Energy Physics - Theory · Physics 2008-11-26 Roy Montalvo , Hitoshi Nishino , Subhash Rajpoot

We present a lagrangian formulation for recently-proposed supersymmetric Yang-Mills theory in twelve dimensions. The field content of our multiplet has an additional auxiliary vector field in the adjoint representation. The usual Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino

We construct a superpropagator in maximally supersymmetric Yang-Mills theory which is invariant off-shell under a chiral half of supersymmetries. Motivated by the duality with scattering amplitudes in this theory, we apply this…

High Energy Physics - Theory · Physics 2015-06-11 A. V. Belitsky , S. Caron-Huot

Planar maximally supersymmetric Yang-Mills theory (N=4 SYM) is a special quantum field theory. A few of its remarkable features are conformal symmetry at the quantum level, evidence of integrability and, moreover, it is a prime example of…

High Energy Physics - Theory · Physics 2016-08-05 Brenda Penante

We describe the vector-tensor multiplet and derive its Chern-Simons couplings to the N=2 Yang-Mills gauge superfield in harmonic superspace.

High Energy Physics - Theory · Physics 2011-09-13 Norbert Dragon , Sergei M. Kuzenko , Ulrich Theis

After adding seven auxiliary scalar fields, the action for ten-dimensional super-Yang-Mills contains an equal number of bosonic and fermionic non-gauge fields. Besides being manifestly Lorentz and gauge-invariant, this action contains nine…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge…

High Energy Physics - Theory · Physics 2009-11-07 Chandrashekar Devchand , Jean Nuyts

We formulate ${\cal N}$=1 super Yang-Mills theory in 3+1 dimensions on a two dimensional transverse lattice using supersymmetric discrete light cone quantization in the large-$N_c$ limit. This formulation is free of fermion species…

High Energy Physics - Lattice · Physics 2009-11-10 Motomichi Harada , Stephen Pinsky

We present a model for supersymmetric Yang-Mills theory in 10+2 dimensions. Our construction uses a constant null vector, and leads to a consistent set of field equations and constraints. The model is invariant under generalized…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino , Ergin Sezgin

We consider the coupling of nonminimal scalar multiplets to supersymmetric Yang-Mills in four dimensions and compute the one-loop contribution to the low-energy effective action in the abelian sector. We show that the resulting theory…

High Energy Physics - Theory · Physics 2009-10-30 Silvia Penati , Daniela Zanon

We derive p+1-dimensional (p=1,2) maximally supersymmetric U(N) Yang-Mills theory from the wrapped supermembrane on $R^{11-p}\times T^{p}$ in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super…

High Energy Physics - Theory · Physics 2010-04-05 Shozo Uehara , Satoshi Yamada

We study various N=2 multiplets in four dimensions by looking at the supersymmetric truncation of four dimensional N=3 multiplets. Under supersymmetric truncation, the off-shell N=3 Weyl multiplet reduces to the off-shell N=2 Weyl multiplet…

High Energy Physics - Theory · Physics 2025-06-03 Aravind Aikot , Bindusar Sahoo

We construct six-dimensional (1,0) superconformal models with non-abelian gauge couplings for multiple tensor multiplets. A crucial ingredient in the construction is the introduction of three-form gauge potentials which communicate degrees…

High Energy Physics - Theory · Physics 2015-05-30 Henning Samtleben , Ergin Sezgin , Robert Wimmer

In this paper we study Open Wilson Lines (OWL's) in the context of two Supersymmetric Yang Mills theories. First we consider four dimensional N=2 Supersymmetric Yang Mills Theory with hypermultiplets transforming in the fundamental…

High Energy Physics - Theory · Physics 2011-04-05 Edward B. Baker

Non-commutative supersymmetric Yang-Mills with rational Theta is dual to an ordinary supersymmetric Yang-Mills with a 't Hooft flux. It is believed that the simplest description is via the ordinary supersymmetric Yang-Mills. We claim,…

High Energy Physics - Theory · Physics 2009-10-31 Akikazu Hashimoto , N. Itzhaki

By exploiting standard facts about $N=1$ and $N=2$ supersymmetric Yang-Mills theory, the Donaldson invariants of four-manifolds that admit a Kahler metric can be computed. The results are in agreement with available mathematical…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We show that for N = 1 supersymmetric Yang-Mills theory it is possible to build an off-shell nilpotent BRST and anti-BRST algebra in terms of a BRST superspace formalism. This is based on the introduction of the basic fields of the…

High Energy Physics - Theory · Physics 2023-07-19 A Meziane , Mohamed Tahiri

We study our Schwinger-Dyson equation as well as the large $N_{c}$ loop equation for supersymmetric Yang-Mills theory in four dimensions by the N=1 superspace Wilson-loop variable. We are successful in deriving a new manifestly…

High Energy Physics - Theory · Physics 2009-10-30 Hiroshi Itoyama , Hiroyuki Takashino