Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions

Abstract

We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. We first introduce the simplest hyper-Maxwell Chern-Simons gravity containing two massless spin-2 fields coupled with a massless Majorana fermion of spin-$\frac{5}{2}$ and whose novel underlying superalgebra is explicitly constructed. Then, we present three alternative hypersymmetric extensions of the Maxwell algebra which are shown to emerge from the Inönü-Wigner contraction procedure of precise combinations of the $\mathfrak{osp}\left(1|4\right)$ and the $\mathfrak{sp}\left(4\right)$ algebras. This allow us to construct distinct types of hyper-Maxwell Chern-Simons theories that extend to include generically interacting non-propagating spin-$4$ fields accompanied by one or two spin-$\frac{5}{2}$ gauge fields.

25 pages

References in corpus (23)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Higher Spins & Strings
• Expanding Lie (super)algebras through abelian semigroups
• Generalized Black Holes in Three-dimensional Spacetime
• Minimal Massive 3D Gravity
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Generalized cosmological term from Maxwell symmetries
• Deformations of Maxwell algebra and their Dynamical Realizations
• N=1 Supergravity and Maxwell superalgebras
• Higher Spins and String Interactions
• Maxwell Superalgebras and Abelian Semigroup Expansion
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Flat space (higher spin) gravity with chemical potentials
• Deformations of Maxwell Superalgebras and Their Applications
• Minimal D=4 supergravity from the superMaxwell algebra
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• Generalized Pure Lovelock Gravity
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Hypergravity in AdS_3
• The (super)conformal BMS${}_3$ algebra
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Chern-Simons gravity, based on a non-semisimple group

Cited by in corpus (2)

• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant