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Action of 4 dimensional N=4 supersymmetric Yang-Mills theory is written by employing the superfields in N=4 superspace which were used to prove the equivalence of its constraint equations and equations of motion. Integral forms of the…

High Energy Physics - Theory · Physics 2007-05-23 O. F. Dayi , K. Ulker

We derive the couplings of the 3-form supermultiplet to the general supergravity-matter-Yang-Mills system. Based on the methods of superspace geometry, we identify component fields, establish their supergravity transformations and construct…

High Energy Physics - Theory · Physics 2009-10-30 P. Binétruy , F. Pillon , G. Girardi , R. Grimm

In this paper the SIM(2) superspace formulation of the supersymmetric Yang-Mills gauge theory minimally coupled to chiral superfields is discussed. The super-Poincare invariant supersymmetric Yang-Mills theory is rewritten to SIM(2)…

High Energy Physics - Theory · Physics 2015-03-16 Jiří Vohánka

Using a gauge symmetry derived by applying the Dirac constraint formalism to supergravity with cosmological term in 2+1 dimensions, we construct a gauge theory with many characteristics of Yang-Mills theory. The gauge transformation mixes…

High Energy Physics - Theory · Physics 2021-07-07 D. G. C. McKeon

We use generalized unitarity at the integrand-level to directly construct local, manifestly dual-conformally invariant formulae for all two-loop scattering amplitudes in planar, maximally supersymmetric Yang-Mills theory (SYM). This…

High Energy Physics - Theory · Physics 2017-05-22 Jacob L. Bourjaily , Jaroslav Trnka

The BCJ decomposition is a highly non-trivial property of gauge theories. In this paper we systematically construct an effective Lagrangian, whose Feynman rules automatically produce the BCJ numerators. The effective Lagrangian contains…

High Energy Physics - Theory · Physics 2021-01-13 Mathias Tolotti , Stefan Weinzierl

We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying…

High Energy Physics - Theory · Physics 2023-07-07 Jacob L. Bourjaily , Nikhil Kalyanapuram , Kokkimidis Patatoukos , Michael Plesser , Yaqi Zhang

A consistent truncation of IIB on S^5 has been obtained in the sector of the metric and the 4-form potential. The ansatz contains 20 scalars and all 15 gauge fields of ${\cal N}=8$ gauged supergravity in five dimensions. With this fully…

High Energy Physics - Theory · Physics 2009-10-31 I. Y. Park , A. Sadrzadeh , T. A. Tran

We refine the dictionary of the gauge/gravity correspondence realizing N=1 super Yang-Mills by means of D5-branes wrapped on a resolved Calabi-Yau space. This is done by fixing an ambiguity on the correct interpretation of the holographic…

High Energy Physics - Theory · Physics 2009-11-07 M. Bertolini , P. Merlatti

This is a continuation of hep-th/9811108, hep-th/9903218, hep-th/9910235, on exact integration technics for modified dynamical equations in ten dimensional supersymmetric gauge theory. A B\"acklund transformation is derived for the Yang…

High Energy Physics - Theory · Physics 2016-11-23 Jean-Loup Gervais

The pseudoparticle approach is a numerical method to approximate path integrals in SU(2) Yang-Mills theory. Path integrals are computed by summing over all gauge field configurations, which can be represented by a linear superposition of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marc Wagner

Recent development in numerical simulations of supersymmetric Yang-Mills (SYM) theories on the lattice is reviewed.

High Energy Physics - Lattice · Physics 2008-11-26 I. Montvay

The BPS bound is formulated in light-cone superspace for the N = 4 superYang-Mills theory. As a consequence of the superalgebra all momenta are shown to be expressed as a quadratic form in the relevant supertransformations, and these forms…

High Energy Physics - Theory · Physics 2011-02-15 Patrick Hearin

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

High Energy Physics - Lattice · Physics 2010-06-07 Simon Catterall

We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills field formulated in the ${\cal N}=2$ harmonic superspace. The various gauge-invariant forms of writing the mass term in the action (in particular, using the…

High Energy Physics - Theory · Physics 2008-12-18 I. L. Buchbinder , N. G. Pletnev

An explicitely gauge invariant polynomial action for massive gauge fields is proposed. For different values of parameters it describes massive Yang-Mills field, the Higgs-Kibble model, the model with spontaneously broken symmetry and two…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Slavnov

We construct SU($N$) super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. It is based on topological field theory formulation for the super Yang-Mills…

High Energy Physics - Lattice · Physics 2009-11-10 Fumihiko Sugino

The YM theory has been generalized to 2YM and 3YM theories. Similarly, we generalize the BFYM theory to "2BFYM" and "3BFYM" theories. Then, we show that these higher BFYM theories can give the formulations of the corresponding higher form…

Mathematical Physics · Physics 2022-11-21 Danhua Song , Kai Lou , Ke Wu , Jie Yang

We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on…

High Energy Physics - Theory · Physics 2010-02-03 Martin Cederwall , Bengt E. W. Nilsson , Dimitrios Tsimpis

We investigate the pure gauge sector of Super-QCD, i.e. Super-Yang-Mills (SYM) theory, with focus on the bound states. To improve chiral symmetry as well as supersymmetry at finite lattice spacing, we use a deformed SYM lattice action. It…

High Energy Physics - Lattice · Physics 2019-12-23 Marc Steinhauser , Andre Sternbeck , Björn Wellegehausen , Andreas Wipf