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Recently, we found the supersymmetric counterpart of the spectral triple. When we restrict the representation space to the fermionic functions of matter fields, the counterpart which we name "the triple" reduces to the original spectral…

High Energy Physics - Theory · Physics 2014-07-23 Satoshi Ishihara , Hironobu Kataoka , Atsuko Matsukawa , Hikaru Sato , Masafumi Shimojo

We write down closed formulas for all necessary steps to obtain multiparticle super Yang--Mills superfields in the so-called BCJ gauge. The superfields in this gauge have obvious applications in the quest for finding BCJ-satisfying…

High Energy Physics - Theory · Physics 2019-10-23 Elliot Bridges , Carlos R. Mafra

We discuss bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. We begin by finding convergence conditions for the partition and correlation functions. Moving on, we specialise to the SU(N) models with…

High Energy Physics - Theory · Physics 2007-05-23 Peter Austing

Higher derivative terms in the effective action of certain Yang-Mills theories can be severely constrained by supersymmetry. We show that requiring sixteen supersymmetries in quantum mechanical gauge theory determines the $v^6$ term in the…

High Energy Physics - Theory · Physics 2010-02-03 Sonia Paban , Savdeep Sethi , Mark Stern

We apply ideas motivated by string theory to improve the calculational efficiency of one-loop weak interaction processes with massive external gauge bosons. In certain cases ``supersymmetry'' relations between diagrams with a fermion loop…

High Energy Physics - Phenomenology · Physics 2009-10-22 Z. Bern , A. G. Morgan

The analysis in previous publications of the instanton constraints required to produce a finite action of the theory is carried out also for N=2 supersymmetric Yang-Mills theory.

High Energy Physics - Theory · Physics 2007-05-23 N. K. Nielsen

In this paper we calculate three-string interaction from light cone string field theory in pp-wave. We find exact agreements with the free planar three point functions of non-chiral BMN operators of ${\cal N} = 4$ super Yang Mills. The…

High Energy Physics - Theory · Physics 2009-11-07 Min-xin Huang

Working with a gauge coupling field in a linear superfield, we construct effective Lagrangians for N=1 super-Yang-Mills theory fully compatible with the expected all-order behaviour or physical quantities. Using the one-loop dependence on…

High Energy Physics - Theory · Physics 2016-12-28 Nicola Ambrosetti , Daniel Arnold , Jean-Pierre Derendinger , Jelle Hartong

For N=1 Super-Yang-Mills theory we generalize the effective average action Gamma_k in a manifest supersymmetric way using the superspace formalism. The exact evolution equation for Gamma_k is derived and, introducing as an application a…

High Energy Physics - Theory · Physics 2009-10-31 S. Falkenberg , B. Geyer

We consider limits of $\mathcal{N} = 4$ super-Yang-Mills (SYM) theory that approach BPS bounds. These limits result in non-relativistic near-BPS theories that describe the effective dynamics near the BPS bounds and upon quantization are…

High Energy Physics - Theory · Physics 2021-04-08 Stefano Baiguera , Troels Harmark , Yang Lei , Nico Wintergerst

We present an entirely new approach towards a realization of the supersymmetric Yang-Mills theory on the lattice. The action consists of the staggered fermion and the plaquette variables distributed in the Euclidean space with a particular…

High Energy Physics - Lattice · Physics 2009-11-07 Katsumi Itoh , Mitsuhiro Kato , Hideyuki Sawanaka , Hiroto So , Naoya Ukita

The quantization of the non-commutative N=1, U(1) super-Yang-Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem…

High Energy Physics - Theory · Physics 2009-11-07 A. A. Bichl , M. Ertl , A. Gerhold , J. M. Grimstrup , H. Grosse , L. Popp , V. Putz , M. Schweda , R. Wulkenhaar

We consider the N=4 supersymmetric Yang-Mills theory in four dimensions. We compute the one-loop contributions to the effective action with five external vector fields and compare them with corresponding results in open superstring theory.…

High Energy Physics - Theory · Physics 2009-11-07 Andrea Refolli , Alberto Santambrogio , Niccolo' Terzi , Daniela Zanon

The Yangian level-one hypercharge generator for the super Wilson loop in N = 4 supersymmetric Yang-Mills theory is constructed. Moreover, evidence for the presence of a corresponding symmetry generator at all higher levels is provided. The…

High Energy Physics - Theory · Physics 2016-04-20 Hagen Munkler

We consider the supersymmetric field theories on the noncommutative $R^4$ using the superspace formalism on the commutative space. The terms depending on the parameter of the noncommutativity $\Theta$ are regarded as the interactions. In…

High Energy Physics - Theory · Physics 2009-10-31 Seiji Terashima

We study the one-loop effective action for $6D,$ ${\cal N}=(1,0)$ supersymmetric Yang--Mills (SYM) theory with hypermultiplets and $6D,$ ${\cal N}=(1,1)$ SYM theory as a subclass of the former, using the off-shell formulation of these…

High Energy Physics - Theory · Physics 2017-06-28 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

Using the N = 2 off-shell formulation in harmonic superspace for N = 4 super Yang-Mills theory, we present a representation of the one-loop effective action which is free of so-called coinciding harmonic singularities and admits a…

High Energy Physics - Theory · Physics 2009-11-07 S. M. Kuzenko , I. N. McArthur

We review a detailed investigation of the perturbative part of the low-energy effective action of N=2 supersymmetric Yang-Mills theory in a conventional effective field theory approach. With the restriction that the effective action should…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , W. F. Chen , C. Montonen

There is a natural way to study the long distance interactions of gauge theories in the electric (momentum) representation. Here, the main ideas are presented for the Abelian and Yang-Mills gauge theories emphasizing on the structure and…

High Energy Physics - Theory · Physics 2007-05-23 Jiannis Pachos

We study four dimensional supersymmetric gauge theory on the noncommutative superspace, recently proposed by Seiberg. We construct the gauge-invariant action of N=1 super Yang-Mills theory with chiral and antichiral superfields, which has…

High Energy Physics - Theory · Physics 2010-04-05 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka