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Related papers: On 4D, N = 1 Massless Gauge Superfields of Higher …

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We focus on the superfield formulation for a N = 2 vector supermultiplet in two dimensional spacetime and explicitly show that the Wess-Zumino gauge condition for a N = 2 superfield is compatible with familiar SUSY (plus U(1) gauge)…

High Energy Physics - Theory · Physics 2008-11-26 Kazunari Shima , Motomu Tsuda

We report on a recent progress in constructing off-shell ${\cal N}=2, 4D$ supersymmetric integer higher-spin theory in terms of unconstrained harmonic analytic gauge superfields and their cubic interaction with the matter hypermultiplets.…

High Energy Physics - Theory · Physics 2023-06-30 Evgeny Ivanov

In an earlier article, we presented a method to obtain integrals of motion and polynomial algebras for a class of two-dimensional superintegrable systems from creation and annihilation operators. We discuss the general case and present its…

Mathematical Physics · Physics 2010-04-27 Ian Marquette

We present expressions for the supercurrents generated by a generic $4D,~\mathcal{N}=1$ theory of complex linear superfield $\Sigma$. We verify that these expressions satisfy the appropriate superspace conservation equations. Furthermore,…

High Energy Physics - Theory · Physics 2017-03-08 P. Kočí , K. Koutrolikos , R. von Unge

We consider the geometrical formulation in central charge superspace of the N=4 supergravity containing an antisymmetric tensor gauge field. The theory is on-shell, so clearly, the constraints used for the identification of the multiplet…

High Energy Physics - Theory · Physics 2009-11-07 Sebastien Gurrieri , Annamaria Kiss

We consider the interacting system of D=4 N=1 supergravity and the Brink-Schwarz massless superparticle as described by the sum of their superfield actions, and derive the complete set of superfield equations of motion for the coupled…

High Energy Physics - Theory · Physics 2009-11-07 Igor A. Bandos , Jose A. de Azcarraga , Jose M. Izquierdo , Jerzy Lukierski

Unfolded equations of motion for symmetric massive bosonic fields of any spin in Minkowski and (A)dS spaces are presented. Manifestly gauge invariant action for a spin $s \ge 2$ massive field in any dimension is constructed in terms of…

High Energy Physics - Theory · Physics 2011-09-07 D. S. Ponomarev , M. A. Vasiliev

We construct a geometric structure on deformed supermanifolds as a certain subalgebra of the vector fields. In the classical limit we obtain a decoupling of the infinitesimal odd and even transformations, whereas in the semiclassical limit…

Differential Geometry · Mathematics 2011-05-23 Frank Klinker

An extension of the Poincar\'e group with half-integer spin generators is explicitly constructed. We start discussing the case of three spacetime dimensions, and as an application, it is shown that hypergravity can be formulated so as to…

High Energy Physics - Theory · Physics 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

There has been substantial calculational progress in the last few years for gauge theory amplitudes which involve massless four dimensional particles. One of the central ingredients in this has been the ability to keep precise track of the…

High Energy Physics - Theory · Physics 2010-01-22 Rutger H. Boels

In this Letter we consider the problem of partial masslessness and unitarity in (A)dS using gauge invariant description of massive high spin particles. We show that for S = 2 and S = 3 cases such formalism allows one correctly reproduce all…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

We consider N=4 supersymmetric Yang-Mills theory formulated in terms of N=2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N=2 supersymmetric effective action depending on N=2…

High Energy Physics - Theory · Physics 2015-06-26 I. L. Buchbinder

We start by a concise yet thorough revision of four-dimensional superspace supergravity. We present curved superspace geometry, for arbitrary N, including torsion, curvature and Bianchi identities. We motivate the choice of torsion…

High Energy Physics - Theory · Physics 2010-09-07 Filipe Moura

We express the action of six-dimensional supergravity in terms of four-dimensional N=1 superfields, focusing on the moduli dependence of the action. The gauge invariance of the action in the tensor-vector sector is realized in a quite…

High Energy Physics - Theory · Physics 2015-08-07 Hiroyuki Abe , Yutaka Sakamura , Yusuke Yamada

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown…

High Energy Physics - Theory · Physics 2016-01-27 I. L. Buchbinder , K. Koutrolikos

We construct a Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the universal BRST approach. Starting with a description of bosonic…

High Energy Physics - Theory · Physics 2025-02-18 I. L. Buchbinder , A. Reshetnyak

We present a Lagrangian formulation for 4d integer-spin relativistic fields in the 5d space spanned by two conjugate Weyl spinors and a Lorentz-invariant proper-time coordinate. We construct a manifestly Poincare-invariant free classical…

High Energy Physics - Theory · Physics 2023-01-06 N. G. Misuna

An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension D>2 is presented in these lecture notes. To start with, the one-to-one correspondence between linear relativistic…

High Energy Physics - Theory · Physics 2021-06-15 Xavier Bekaert , Nicolas Boulanger

We discuss manifestly SL(2,C)x SU(4) and kappa invariant superstring action in AdS(5) x S(5) background in the framework of Green-Schwarz formulation. The action is formulated in terms of 16 Poincare fermionic coordinates which through…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Metsaev

In these introductory lectures, we review the theoretical tools used in constructing supersymmetric field theories and their application to physical models. We first introduce the technology of two-component spinors, which is convenient for…

High Energy Physics - Phenomenology · Physics 2022-05-20 Howard E. Haber , Laurel Stephenson Haskins