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Supersymmetric field theories possess a rich structure in their supercurrent supermultiplets. Some symmetries are manifest in one supercurrent supermultiplet but not in the others; for instance, R-symmetry is manifest in the R-multiplet but…

High Energy Physics - Theory · Physics 2014-11-18 Yu Nakayama

An extended class of N=2 locally supersymmetric invariants with higher-derivative couplings based on full superspace integrals, is constructed. These invariants may depend on unrestricted chiral supermultiplets, on vector supermultiplets…

High Energy Physics - Theory · Physics 2011-03-30 Bernard de Wit , Stefanos Katmadas , Maaike van Zalk

The structure of on-shell and off-shell 2D, (4,4) supersymmetric scalar multiplets is investigated, in components and in superspace. We reach the surprising result that there exist eight {\underline {distinct}} on-shell versions and an even…

High Energy Physics - Theory · Physics 2009-10-28 S. James Gates , Sergei V. Ketov

We consider theories of fractons with $N$ fields. These theories have exotic spacetime symmetries, including a conserved dipole moment. Using collective fields we solve these models to leading order in large $N$. The large $N$ solution…

High Energy Physics - Theory · Physics 2022-05-04 Kristan Jensen , Amir Raz

An explicit construction of theories of spinning particles, both massive and massless, is given with arbitrary extended supersymmetry on the world-line. As an application of our results, we give a universal description of 3D (and via…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Lubna Rana

We present new explicit realizations of the most general N=4, d=1 superconformal symmetry D(2,1;\alpha) in the models of N=4 superconformal mechanics based on the reducible multiplets (1,4,3)\oplus(0,4,4), (3,4,1)\oplus(0,4,4) and…

High Energy Physics - Theory · Physics 2015-10-21 S. Fedoruk , E. Ivanov

Maximally supersymmetric theories do not allow off-shell superspace formulations with traditional superfields containing a finite set of auxiliary fields. It has become clear that off-shell supersymmetric action formulations of such models…

High Energy Physics - Theory · Physics 2015-06-16 Martin Cederwall

We derive the coupling of a hypermultiplet of N=2 global supersymmetry to the Dirac-Born-Infeld Maxwell theory with linear N=1 and a second nonlinear supersymmetry. At the level of global supersymmetry, this construction corresponds to the…

High Energy Physics - Theory · Physics 2010-05-07 N. Ambrosetti , I. Antoniadis , J. -P. Derendinger , P. Tziveloglou

For a wide range of supersymmetric models, there is a chiral superfield whose scalar and pseudo-scalar have approximately degenerate masses and couplings to Standard Model particles. At colliders, they may show up as "superbumps": a pair of…

High Energy Physics - Phenomenology · Physics 2016-07-20 Yang Bai , Joshua Berger

A superfield formulation is presented of the central charge anomaly in quantum corrections to solitons in two-dimensional theories with N=1 supersymmetry. Extensive use is made of the superfield supercurrent, that places the supercurrent…

High Energy Physics - Theory · Physics 2009-11-10 K. Shizuya

The off-shell representation theory of 4D, $\mathcal{N}=1$ supermultiplets can be categorized in terms of distinct irreducible graphical representations called adinkras as part of a larger effort we call supersymmetry `genomics.' Recent…

High Energy Physics - Theory · Physics 2019-03-12 Isaac Chappell , S. James Gates, , William D. Linch , James Parker , Stephen Randall , Alexander Ridgway , Kory Stiffler

Even with the introduction of supercharacter theories, the representation theory of many unipotent groups remains mysterious. This paper constructs a family of supercharacter theories for normal pattern groups in a way that exhibit many of…

Representation Theory · Mathematics 2015-12-14 Nathaniel Thiem

We examine non-gravitational minimal supermultiplets which are based on the tensor gauge fields appearing as matter fields in exceptional generalised geometry. When possible, off-shell multiplets are given. The fields in the multiplets…

High Energy Physics - Theory · Physics 2013-03-01 Martin Cederwall

Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N=2 Poincare superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are…

High Energy Physics - Theory · Physics 2022-01-05 R. R. Metsaev

We explicitly construct and list all unitary superconformal multiplets, along with their index contributions, in five and six dimensions. From this data, we uncover various unifying themes in the representation theory of five- and…

High Energy Physics - Theory · Physics 2016-12-21 Matthew Buican , Joseph Hayling , Constantinos Papageorgakis

Using the superconformal framework, we construct a new off-shell model for $\cal N=4$ topologically massive supergravity which is minimal in the sense that it makes use of a single compensating vector multiplet and involves no free…

High Energy Physics - Theory · Physics 2017-03-23 Sergei M. Kuzenko , Joseph Novak , Ivo Sachs

We obtain by superfield methods the exceptional representations of the OSp(2N/4,R) and SU(2,2/1) superalgebras which extend to supersingletons of SU(2,2/2N) and F(4), respectively. These representations describe superconformally coupled…

High Energy Physics - Theory · Physics 2009-11-07 Sergio Ferrara , Emery Sokatchev

The first complete and explicit SO(1,9) Lorentz descriptions of all component fields contained in $\mathcal{N} = 1$, $\mathcal{N} = 2$A, and $\mathcal{N} = 2$B unconstrained scalar 10D superfields are presented. These are made possible by…

High Energy Physics - Theory · Physics 2020-09-15 S. James Gates , Yangrui Hu , S. -N. Hazel Mak

Representations of four dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible…

High Energy Physics - Theory · Physics 2009-11-07 P. J. Heslop

Super-constrained superfields have provided for most of the best-known and oft-used representations of supersymmetry. The abelian nature of the Lorentz symmetry on the worldsheet turns out to continue permitting the discovery of new…

High Energy Physics - Theory · Physics 2011-04-06 Tristan Hubsch