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We analyse the relationship between the N=2 harmonic and projective superspaces which are the only approaches developed to describe general N=2 super Yang-Mills theories in terms of off-shell supermultiplets with conventional supersymmetry.…

High Energy Physics - Theory · Physics 2009-10-31 Sergei M. Kuzenko

Recently, new theoretical ideas have allowed the construction of lattice actions which are explicitly invariant under one or more supersymmetries. These theories are local and free of doublers and in the case of Yang-Mills theories also…

High Energy Physics - Lattice · Physics 2010-11-05 Simon Catterall

In Yang-Mills theory, the charges of the left and right massless Fermions are independent of each other. We propose a new paradigm where we remove this freedom and densify the algebraic structure of Yang-Mills theory by integrating the…

High Energy Physics - Theory · Physics 2009-11-11 Jean Thierry-Mieg

We construct a ``pseudo-supersymmetric" fermionic extension of the effective action of the bosonic string in arbitrary spacetime dimension D. The theory is invariant under pseudo-supersymmetry transformations up to the quadratic fermion…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , Zhao-Long Wang

Here we formulate two field redefinitions for N=4 Super Yang-Mills in light cone superspace that generates only MHV vertices in the new Lagrangian. After careful consideration of the S-matrix equivalence theorem, we see that only the…

High Energy Physics - Theory · Physics 2009-04-17 Haidong Feng , Yu-tin Huang

We reconsider the relation of superconformal indices of superconformal field theories of class S with five-dimensional N=2 supersymmetric Yang-Mills theory compactified on the product space of a round three-sphere and a Riemann surface. We…

High Energy Physics - Theory · Physics 2015-12-09 Teruhiko Kawano , Nariaki Matsumiya

I briefly review some general features and some recent developments concerning the resummation of long-distance singularities in QCD and in more general non-abelian gauge theories. I emphasize the field-theoretical tools of the trade, and…

High Energy Physics - Phenomenology · Physics 2009-11-13 Lorenzo Magnea

Global supersymmetries of the S-matrices of N = 2, 4, 8 supersymmetric Yang-Mills theories in three spacetime dimensions (without matter hypermultiplets) are shown to be SU(1|1), SU(2|2) and SU(2|2) X SU(2|2) respectively. These symmetries…

High Energy Physics - Theory · Physics 2013-05-21 Abhishek Agarwal , Donovan Young

We will discuss an integrable structure for weakly coupled superconformal Yang-Mills theories, describe certain equivalences for the Yangian algebra, and fill a technical gap in our previous study of this subject.

High Energy Physics - Theory · Physics 2017-08-23 L. Dolan , C. R. Nappi , E. Witten

The lagrangian of the N=1, D=10 dual supergravity interacting with the Yang-Mills matter multiplet is constructed starting immediately from the equations of motion obtained from the Bianchi Identities in the superspace approach. The…

High Energy Physics - Theory · Physics 2007-05-23 N. A. Saulina , M. V. Terentiev , K. N. Zyablyuk

The fermion loop formulation naturally separates partition functions into their canonical sectors. Here we discuss various strategies to make use of this for supersymmetric SU(N) Yang-Mills quantum mechanics obtained from dimensional…

High Energy Physics - Lattice · Physics 2015-09-07 Georg Bergner , Hang Liu , Urs Wenger

$\mathcal{N}=1$ $SU(N)$ super-Yang-Mills theory on $\mathbb{R}^3\times S^1$ is believed to have a smooth dependence on the circle size $L$. Making $L$ small leads to calculable non-perturbative color confinement, mass gap, and string…

High Energy Physics - Theory · Physics 2016-12-14 Aleksey Cherman , Erich Poppitz

We consider dimensionally reduced versions of N=2 four- dimensional supersymmetric Yang-Mills theory and determine the one-loop effective Lagrangians associated with the motion over the corresponding moduli spaces. In the (0+1) case, the…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Smilga

We consider theories with degenerate kinetic terms such as those that arise at strong coupling in $N=2$ super Yang-Mills theory. We compute the components of generalized $N=1,2$ supersymmetric sigma model actions in two dimensions. The…

High Energy Physics - Theory · Physics 2017-05-12 J. Grundberg , U. Lindstrom , M. Rocek

Non-perturbative investigations of $\mathcal N = 4$ supersymmetric Yang--Mills theory formulated on a space-time lattice have advanced rapidly in recent years. Large-scale numerical calculations are currently being carried out based on a…

High Energy Physics - Lattice · Physics 2018-05-11 David Schaich

Super Feynman rules for any superspin are given for massive $ \mathcal{N}=1 $ supersymmetric theories, including momentum superspace on-shell legs. This is done by extending, from space to superspace, Weinberg's perturbative approach to…

High Energy Physics - Theory · Physics 2015-10-27 Enrique Jiménez

The multidimensional N=4 supersymmetric quantum mechanics (SUSY QM) is constructed using the superfield approach. As a result, the component form of the classical and quantum Lagrangian and Hamiltonian is obtained. In the considered SUSY QM…

High Energy Physics - Theory · Physics 2009-10-31 E. E. Donets , A. Pashnev , J. Juan Rosales , M. M. Tsulaia

We summarise the latest results of our collaboration concerning N=1 supersymmetric Yang-Mills theory in four dimensions on the lattice. We investigate the expected formation of supersymmetric multiplets of the lightest particles and the…

High Energy Physics - Lattice · Physics 2014-11-07 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Umut D. Özugurel , Stefano Piemonte , Dirk Sandbrink

We develop a systematic approach to obtain an effective Lagrangian for 2D non-Abelian topological BF theory. A general expression is presented in a diagrammatic representation containing solely scalar fields. Expressions for the SU(2) and…

High Energy Physics - Theory · Physics 2022-05-04 Pongwit Srisangyingcharoen , Paul Mansfield

The massless superfield content of four-dimensional compactifications of closed superstrings with extended (N=2, 3, or 4) supersymmetry is derived by multiplying two (N=0, 1, or 2) Yang-Mills multiplets. In some cases these superfields are…

High Energy Physics - Theory · Physics 2009-10-28 W. Siegel