Supersymmetric HS Yang-Mills-like Models

Bonora, L.; Giaccari, Stefano

doi:10.3390/universe6120245

Cited by 7 publications

(4 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…non-gauge) degrees of freedom offers more possibilities for interaction terms. Theories in the light-cone gauge were constructed [95], based on the cubic vertices found in [81,93,94] and chiral higher-spin theories were studied in [167][168][169], as well as their connections with Yang-Mills-like theories [170][171][172], showing interesting quantum properties.…”

Section: Discussionmentioning

confidence: 99%

Introduction to higher-spin theories

Pekar¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

View full text Add to dashboard Cite

These lecture notes are based on a six-hour lecture given at the 2022 edition of the Modave Summer School in Mathematical Physics. They are meant to be an introductory course to higherspin theories. We start with the basics of group theory allowing one to define higher-spin fields, then discuss the free theory in the metric-like and the frame-like formulations. We end with the construction of higher-spin symmetry algebras and emphasise the link between them and the free theory, as well as the considerations that allow one to construct the former from the symmetries of the latter.

show abstract

Section: Discussionmentioning

confidence: 99%

Introduction to higher-spin theories

Pekar¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

View full text Add to dashboard Cite

show abstract

“…This is a consequence of the fact that the MHSYM theory can be consistently truncated to the low-spin (s ≤ 2) sector at the level of EoM. 36 Let us rewrite the low-spin EoM (6.52)-(6.53) within the framework of teleparallel geometry by using (6.47) and the fact that in teleparallel gravity Lorentz connection is vanishing in inertial frames so the Lorentz covariant derivative is simply the coordinate derivative…”

Section: Jhep06(2021)144mentioning

confidence: 99%

Gauging the higher-spin-like symmetries by the Moyal product

Cvitan

Prester

Giaccari

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We analyze a novel approach to gauging rigid higher derivative (higher spin) symmetries of free relativistic actions defined on flat spacetime, building on the formalism originally developed by Bonora et al. and Bekaert et al. in their studies of linear coupling of matter fields to an infinite tower of higher spin fields. The off-shell definition is based on fields defined on a 2d-dimensional master space equipped with a symplectic structure, where the infinite dimensional Lie algebra of gauge transformations is given by the Moyal commutator. Using this algebra we construct well-defined weakly non-local actions, both in the gauge and the matter sector, by mimicking the Yang-Mills procedure. The theory allows for a description in terms of an infinite tower of higher spin spacetime fields only on-shell. Interestingly, Euclidean theory allows for such a description also off-shell. Owing to its formal similarity to non-commutative field theories, the formalism allows for the introduction of a covariant potential which plays the role of the generalised vielbein. This covariant formulation uncovers the existence of other phases and shows that the theory can be written in a matrix model form. The symmetries of the theory are analyzed and conserved currents are explicitly constructed. By studying the spin-2 sector we show that the emergent geometry is closely related to teleparallel geometry, in the sense that the induced linear connection is opposite to Weitzenböck’s.

show abstract

“…Various studies of supersymmetric theories of massless fields in 4d which could be helpful for the investigation of interacting massive supermultiplets in 3d may be found, e.g., in refs. [41][42][43][44][45][46]. 13 ii) Conformal higher-spin theories in 3d have actively been studied in the recent time (see, e.g., refs.…”

Section: Jhep12(2021)069mentioning

confidence: 99%

Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space

Metsaev

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N = 2 Poincaré superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are studied. For such massive and massless supermultiplets, a formulation in terms of light-cone gauge unconstrained superfields defined in a momentum superspace is developed. For the supermultiplets under consideration a superspace first derivative representation for all cubic interaction vertices is obtained. A superspace representation for dynamical generators of the N = 2 Poincaré superalgebra is also found.

show abstract

Supersymmetric HS Yang-Mills-like Models

Cited by 7 publications

References 30 publications

Introduction to higher-spin theories

Introduction to higher-spin theories

Gauging the higher-spin-like symmetries by the Moyal product

Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space

Contact Info

Product

Resources

About