Hypersymmetric extensions of Maxwell-Chern-Simons gravity in 2+1 dimensions
TLDR
In this article, a consistent way of coupling three-dimensional hyper-Maxwell-Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields was presented.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 generically containing two massless spin-2 fields coupled with a massless Majorana fermion of spin $\frac{5}{2}$ whose novel underlying superalgebra is explicitly constructed. We then present three alternative hypersymmetric extensions of the Maxwell algebra which are shown to emerge from the In\"on\"u-Wigner contraction procedure of precise combinations of the $\mathfrak{o}\mathfrak{s}\mathfrak{p}(1|4)$ and the $\mathfrak{s}\mathfrak{p}(4)$ algebras. This allows us to construct distinct types of hyper-Maxwell-Chern-Simons theories that extend to include generically interacting nonpropagating spin-4 fields accompanied by one or two spin-$\frac{5}{2}$ gauge fields.read more
Citations
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Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite T T ¯ $$ \sqrt{T\overline{T}} $$ deformations
TL;DR: The conformal symmetry algebra in 2D (Diff(S1)⊕Diff (S1)) is shown to be related to its ultra/non-relativistic version (BMS3≈GCA2) through a nonlinear map of the generators, without any sort of limiting process.
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Non-relativistic and ultra-relativistic expansions of three-dimensional spin-3 gravity theories
TL;DR: In this article , a spin-3 extension of the AdS algebra was obtained by applying the expansion procedure using different semigroups, leading to spin 3 extensions of known non-relativistic and ultra-relateivistic algebras.
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Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
TL;DR: In this article, an extension of the Maxwellian Carroll symmetry is shown to be necessary in order for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate.
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Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
TL;DR: The conformal symmetry algebra in 2D (Diff($S^{1}$)$\oplus$Diff$S€ 1}$)) is shown to be related to its ultra/non-relativistic version (BMS${3}$ ) through a nonlinear map of the generators, without any sort of limiting process as discussed by the authors.
Posted Content
Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
TL;DR: In this article, an extension of the Maxwellian Carroll symmetry is presented for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate.
References
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N=1 supergravity and Maxwell superalgebras
Patrick Concha,Patrick Concha,Patrick Concha,Eduardo Rodríguez,Eduardo Rodríguez,Eduardo Rodríguez +5 more
TL;DR: In this paper, the authors presented the construction of the D = 4 supergravity action from the minimal Maxwell superalgebra sℳ4 by applying the abelian semigroup expansion procedure.
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A note on the Chevalley–Eilenberg cohomology for the Galilei and Poincaré algebras
Sotirios Bonanos,Joaquim Gomis +1 more
TL;DR: In this paper, the complete Chevalley-Eilenberg cohomology at form degrees 2, 3 and 4 for the Galilei and Poincare groups was constructed in a systematic way.
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Gauged ads–maxwell algebra and gravity
TL;DR: In this article, the anti-de Sitter algebra is extended with additional generators, forming the negative cosmological constant counterpart of the Maxwell algebra. But the resulting theory is described by the Einstein-Cartan action with Holst term, and the gauge fields associated with the Maxwell generators appear only in topological terms that do not influence dynamical field equations.
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Maxwell superalgebras and Abelian semigroup expansion
Patrick Concha,Patrick Concha,Patrick Concha,Eduardo Rodríguez,Eduardo Rodríguez,Eduardo Rodríguez +5 more
TL;DR: In this paper, it was shown that different choices of abelian semigroups S lead to interesting D = 4 Maxwell superalgebras, which are derived alternatively as an S-expansion of osp ( 4 | N ).
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Hypersymmetry in D=3 of coupled gravity-massless spin-5/2 system
C. Aragone,Stanley Deser +1 more
TL;DR: In this article, the coupled massless spin-5/2-Einstein system exhibits a new local supersymmetry parametrised by a vector-spinor rather than a spinor as in supergravity.