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Related papers: Supersymmetric lattices

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By numerically investigating the conservation law of the supercurrent, we confirm the restoration of supersymmetry in Sugino's lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a…

High Energy Physics - Lattice · Physics 2009-02-02 Issaku Kanamori , Hiroshi Suzuki

To control supersymmetry and gauge invariance in super-Yang-Mills theories we introduce new fields, called shadow fields, which enable us to enlarge the conventional Faddeev-Popov framework and write down a set of useful Slavnov-Taylor…

High Energy Physics - Theory · Physics 2008-11-26 Laurent Baulieu , Guillaume Bossard , Silvio Paolo Sorella

A manifestly invariant renormalization scheme of N=1 nonabelian supersymmetric gauge theories is proposed.

High Energy Physics - Theory · Physics 2009-11-10 A. A. Slavnov , K. V. Stepanyantz

We provide N=1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass…

High Energy Physics - Theory · Physics 2010-02-05 Nicola Maggiore , Olivier Piguet , Sylvain Wolf

We discuss a nonperturbative relation for orientifold parent/daughter pairs of supersymmetric theories with an arbitrary tree-level superpotential. We show that super-Yang-Mills (SYM) theory with matter in the adjoint representation at…

High Energy Physics - Theory · Physics 2010-12-03 A. Armoni , A. Gorsky , M. Shifman

We discuss the physics of four-dimensional compact U(1) lattice gauge theory from the point of view of softly broken N=2 supersymmetric SU(2) Yang-Mills theory. We provide arguments in favor of (pseudo-)critical mass exponents 1/3, 5/11 and…

High Energy Physics - Theory · Physics 2009-10-30 Jan Ambjorn , Domenec Espriu , Naoki Sasakura

In this paper we study the large $N$ limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice 't Hooft couplings,…

High Energy Physics - Lattice · Physics 2022-07-27 Pietro Butti , Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We describe our recent work on the lattice formulation of N=4 three-dimensional super-Yang-Mills. Our formulation was based on the Donaldson-Witten twist, but we have also been studying the formulation based on the Blau-Thompson twist by…

High Energy Physics - Lattice · Physics 2018-11-05 Joel Giedt , Arthur Lipstein , Paul Martin

We study the N=1 supersymmetric SU(N) Yang-Mills theory on the lattice at strong coupling. We analyse and discuss the recent results obtained at strong coupling and large N for the mesonic and fermionic propagators and spectrum.

High Energy Physics - Lattice · Physics 2015-06-25 E. Gabrielli , A. Gonzalez-Arroyo , C. Pena

Results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos are reported. We use the tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2010-03-26 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

Supersymmetry on the lattice is explicitly broken by the gluino mass and lattice artifacts. However, it can be restored in the continuum limit by fine tuning the parameters based on the renormalized Ward identities. On the renormalization…

High Energy Physics - Lattice · Physics 2022-12-21 Georg Bergner , Marios Costa , Haralambos Panagopoulos , Stefano Piemonte , Ivan Soler , Gregoris Spanoudes

We report the results of a numerical simulation of a lattice formulation of the two-dimensional N=(2,2) super Yang-Mills theory proposed by Suzuki and Taniguchi. We measure the 1-point functions and 2-point functions. The scenario is that…

High Energy Physics - Lattice · Physics 2009-04-14 Hidenori Fukaya , Issaku Kanamori , Hiroshi Suzuki , Tomohisa Takimi

We construct the order alpha'^3 terms in the supersymmetric Yang-Mills action in ten dimensions for an arbitrary gauge group. The result can be expressed in terms of the structure constants of the Yang-Mills group, and is therefore…

High Energy Physics - Theory · Physics 2009-11-07 A. Collinucci , M. de Roo , M. G. C. Eenink

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance,…

High Energy Physics - Theory · Physics 2014-12-10 A. Anastasiou , L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

We generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2 matter and ghost multiplets) exactly cancel to all loops. The remaining hermitian…

High Energy Physics - Theory · Physics 2013-09-26 W. Siegel

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 derive the $N=2$ and $4$ super Yang-Mills theories from the viewpoint of the $M_4\times Z_2\times Z_2$ gauge theory. Scalars and pseudoscalars appearing in the theories are regarded as gauge fields along the directions on $Z_2\times Z_2$…

High Energy Physics - Theory · Physics 2010-12-16 Bin Chen , Takesi Saito , Hong-Bo Teng , Kunihiko Uehara , Ke Wu

We present an explicit formulation of supersymmetric Yang-Mills theories from $\D=$ 5 to 10 dimensions in the familiar $\N=1,\D=4$ superspace. This provides the rules for globally supersymmetric model building with extra dimensions and in…

High Energy Physics - Theory · Physics 2009-11-07 Nima Arkani-Hamed , Thomas Gregoire , Jay Wacker

We undertake a detailed study of the gaugings of two-dimensional Yang-Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their higher algebraic and geometric structures, as well as the…

High Energy Physics - Theory · Physics 2024-03-26 Leonardo Santilli , Richard J. Szabo

We provide a general classification of supersymmetric lattice gauge theories that can be obtained from orbifolding of theories with four and eight supercharges. We impose at least one preserved supercharge on the lattice and Lorentz…

High Energy Physics - Lattice · Physics 2008-11-26 Poul H. Damgaard , So Matsuura
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