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We review the superfield formulation of $\mathcal{N}=2$ higher-spin supergravity theory in harmonic superspace. The analysis of both the hypermultiplet higher-spin supersymmetries and conformal supersymmetries is performed. The analytic…

High Energy Physics - Theory · Physics 2025-03-05 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

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

Cubic interactions of higher-spin gauge fields in (A)dS are studied in the metric-like approach. Making use of the traceless and transverse constraints together with the ambient-space formalism, all consistent parity-invariant cubic…

High Energy Physics - Theory · Physics 2015-05-30 E. Joung , M. Taronna

We use light-cone gauge formalism to study interacting massive and massless continuous-spin fields and finite component arbitrary spin fields propagating in the flat space. Cubic interaction vertices for such fields are considered. We…

High Energy Physics - Theory · Physics 2018-12-26 R. R. Metsaev

The origin of non-renormalization theorems in field theories with global supersymmetry can be traced to the fact that supersymmetric actions can be viewed as the highest components of respective supermultiplets. Supersymmetric interactions…

High Energy Physics - Theory · Physics 2011-07-19 K. Ulker

We reexamine the solvable model problem of two static, fundamental quarks interacting with a SU(2) Yang-Mills field on a spatial circle, introduced by Engelhardt and Schreiber. If the quarks are at the same point, the model exhibits a…

High Energy Physics - Theory · Physics 2016-08-25 M. Seeger , M. Thies

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

We reformulate 5D maximally supersymmetric Yang-Mills in 4D Superspace, for a manifold with boundaries. We emphasise certain features and conventions necessary to allow for supersymmetric model building applications. Finally we apply the…

High Energy Physics - Theory · Physics 2013-07-16 Moritz McGarrie

We construct super Yang-Mills theories with ${\cal N}=2, 4$ supersymmetries on the two-dimensional square lattice keeping one or two supercharges exactly. Along the same line as the previous paper \cite{sugino}, the construction is based on…

High Energy Physics - Lattice · Physics 2009-11-10 Fumihiko Sugino

Supersymmetric Yang-Mills theory is in several respects different from QCD and pure Yang-Mills theory. Therefore, a reinvestigation of the scales, at which finite size effects and lattice artifacts become relevant, is necessary. Both,…

High Energy Physics - Lattice · Physics 2012-10-30 Georg Bergner , Istvan Montvay , Gernot Münster , Dirk Sandbrink , Umut D. Özugurel

Supersymmetric field theories on noncommutative spaces are constructed. We present two different representations of noncommutative space, but we can obtain supersymmetry algebla and supersymmetric Yang-Mills action independent of its…

High Energy Physics - Theory · Physics 2009-11-07 Yoshinobu Habara

We propose a method of construction of a cubic interaction in massless Higher Spin gauge theory both in flat and in AdS space-times of arbitrary dimensions. We consider a triplet formulation of the Higher Spin gauge theory and generalize…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Fotopoulos , A. C. Petkou , M. Tsulaia

We classify the supersymmetric mass deformations of all the super Yang-Mills quantum mechanics, which are obtained by dimensional reductions of minimal super Yang-Mills in spacetime dimensions: ten, six, four, three and two. The resulting…

High Energy Physics - Theory · Physics 2008-11-26 Nakwoo Kim , Jeong-Hyuck Park

The deformations of higher-spin symmetries induced by cubic interactions of symmetric massless bosonic fields are analyzed within the metric-like formalism. Our analysis amends the existing classification according to gauge-algebra…

High Energy Physics - Theory · Physics 2015-06-17 Euihun Joung , Massimo Taronna

In this paper we elaborate on higher spin cubic interactions for massless, massive and partially massless fields. We work in the gauge invariant frame-like multispinor formalism, combining Lagrangian and unfolded formulations.

High Energy Physics - Theory · Physics 2021-11-09 Yu. M. Zinoviev

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

Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev

In this letter we provide a complete holographic reconstruction of the cubic couplings in the minimal bosonic higher-spin theory in AdS$_{d+1}$. For this purpose we also determine the OPE coefficients of all single-trace conserved currents…

High Energy Physics - Theory · Physics 2016-05-11 Charlotte Sleight , Massimo Taronna

We review the derivation of light-cone interaction vertices for fermionic and bosonic fields of arbitrary spin. The resulting amplitudes and their factorization properties are discussed. We then show how this symmetry-based approach works…

High Energy Physics - Theory · Physics 2016-11-23 Sudarshan Ananth

We continue the program of constructing cubic interactions between matter and higher spin supermultiplets. In this work we consider a complex linear superfield and we find that it can have cubic interactions only with supermultiplets with…

High Energy Physics - Theory · Physics 2018-04-18 Konstantinos Koutrolikos , Pavel Kočí , Rikard von Unge