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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

In the first part of this paper, we work out a perturbative Lagrangian formulation of semistrict higher gauge theory, that avoids the subtleties of the relationship between Lie 2-groups and algebras by relying exclusively on the structure…

High Energy Physics - Theory · Physics 2012-11-13 Roberto Zucchini

We use superparticle vertex operator correlators in the light-cone gauge to determine the (DF)^2 R^2 and (DF)^4 terms in the M-theory effective action. Our results, when compactified on a circle, reproduce terms in the type-IIA string…

High Energy Physics - Theory · Physics 2009-11-11 Kasper Peeters , Jan Plefka , Steffen Stern

Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions…

High Energy Physics - Lattice · Physics 2008-11-26 Masanori Hanada , Jun Nishimura , Shingo Takeuchi

The commonly used types of effective theory for vector mesons are reviewed and their relationships clarified. They are shown to correspond to different choices of field for spin-1 particles and the rules for transforming between them are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Michael C. Birse

This article is a very basic introduction to supersymmetry. It introduces the two kinds of superfields needed for supersymmetric extensions of the Standard Model, the chiral superfield and the vector superfield, and discusses in detail how…

High Energy Physics - Phenomenology · Physics 2009-07-30 Adrian Signer

Supersymmetric N=1, D=4 string vacua are known to be finite in perturbation theory. However, the effective low energy D=4, N=1 field theory lagrangian does not yield in general finite theories. In this note we present the first (to our…

High Energy Physics - Theory · Physics 2009-10-31 Luis E. Ibanez

We study N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=2 harmonic superspace with the singlet deformation, which preserves chirality. We construct a Lagrangian which is invariant under both the deformed gauge and…

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

We propose three-dimensional N=6 superconformal U(N) X U(M) and SU(N) X SU(N) Chern-Simons gauge theories with two pairs of bifundamental chiral superfields in the (N, M) and (\overline{N}, \overline{M}) representations and in the (N, N)…

High Energy Physics - Theory · Physics 2008-10-14 Tianjun Li

We show that the first-order D=4, N=1 pure supergravity lagrangian four-form can be obtained geometrically as a quadratic expression in the curvatures of the Maxwell superalgebra. This is achieved by noticing that the relative coefficient…

High Energy Physics - Theory · Physics 2015-06-19 J. A. de Azcarraga , J. M. Izquierdo

The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. Emphasis is put on dealing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans-Christian Pauli

We present a Lagrangian formulation for ${\cal N}=8$ superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras. To this end we…

High Energy Physics - Theory · Physics 2019-05-01 Olaf Hohm , Henning Samtleben

Soft-Collinear Effective Theory (SCET) has been formulated since a decade now in covariant gauges. In this work we derive a modified SCET Lagrangian applicable in both classes of gauges: regular and singular ones. This extends the range of…

High Energy Physics - Phenomenology · Physics 2011-08-08 Miguel Garcia-Echevarria , Ahmad Idilbi , Ignazio Scimemi

We study the gauge dependence of one-loop divergences in a general matter-coupled $6D$, ${\cal N}=(1,0)$ supersymmetric gauge theory in the harmonic superspace formulation. Our analysis is based on the effective action constructed by the…

High Energy Physics - Theory · Physics 2019-09-25 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

As a generalisation of the correspondence linking 2D integrable systems with 4D Chern-Simons (CS) gauge theory, superspin chains are realized by means of crossing electric and magnetic super line defects in the 4D CS with super gauge…

High Energy Physics - Theory · Physics 2024-05-30 Youssra Boujakhrout , El Hassan Saidi , Rachid Ahl Laamara , Lalla Btissam Drissi

We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is…

High Energy Physics - Theory · Physics 2017-12-13 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We present a formulation of the maximally supersymmetric N=4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic…

High Energy Physics - Theory · Physics 2017-04-07 Dmitry Chicherin , Emery Sokatchev

We show that Supergravity in eleven dimensions can be described in terms of a constrained superfield on the light-cone, without the use of auxiliary fields. We build its action to first order in the gravitational coupling constant \kappa,…

High Energy Physics - Theory · Physics 2007-07-09 Sudarshan Ananth , Lars Brink , Pierre Ramond

The finite form of the $N=2$ super-Weyl transformations in the chiral and twisted-chiral irreducible formulations of the two-dimensional $N=2$ superfield supergravity are found in $N=2$ superspace. The super-Weyl anomaly of the $N=2$…

High Energy Physics - Theory · Physics 2010-04-06 Sergei V. Ketov , Sven-Olaf Moch

We derive the Lagrangian and the transformation laws of N=4 gauged supergravity coupled to matter multiplets whose sigma-model of the scalars is SU(1,1)/U(1)x SO(6,6+n)/SO(6)xSO(6+n) and which corresponds to the effective Lagrangian of the…

High Energy Physics - Theory · Physics 2009-11-10 Riccardo D'Auria , Sergio Ferrara , Floriana Gargiulo , Mario Trigiante , Silvia Vaula