Built on

R. Schrader, The maxwell group and the quantum theory of particles in classical homogeneous electromagnetic fields
1972
Earlier work this paper cites.
R. D’Auria, P. Fré, Geometric Supergravity in d=11 and Its Hidden Supergroup
1982
Earlier work this paper cites.
M.B. Green, Supertranslations, Superstrings and Chern-Simons Forms
Original
1989
Earlier work this paper cites.
M. Hatsuda, M. Sakaguchi, Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction
2003
Earlier work this paper cites.
J.A. de Azcárraga, J.M. Izquierdo, M. Picón, O. Varela, Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
2003
Earlier work this paper cites.
J.A. de Azcárraga, J.M. Izquierdo, M. Picón, O. Varela, Extensions, expansions, Lie algebra cohomology and enlarged superspaces
2004
Earlier work this paper cites.
D.V. Soroka, V.A. Soroka, Tensor extension of the Poincaré algebra
2005
Earlier work this paper cites.

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Then

J.A. de Azcarraga, K. Kamimura, J. Lukierski, Generalized cosmological term from Maxwell symmetries
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Later among the works it cites.
K. Kamimura, J. Lukierski, Supersymmetrization Schemes of D=4 Maxwell Algebra
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Later among the works it cites.
P.K. Concha, D.M. Peñafiel, E.K. Rodríguez, P. Salgado, Even-dimensional General Relativity from Born-Infeld gravity
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Later among the works it cites.
J.A. de Azcarraga, J.M. Izquierdo, J. Lukierski, M. Woronowicz, Generalizations of Maxwell (super)algebras by the expansion method
Original
2013
Later among the works it cites.
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2014

Maxwell Superalgebras and Abelian Semigroup Expansion

Concha, P. K., Rodríguez, E. K.

Understand

The Abelian semigroup expansion is a powerful and simple method to derive new Lie algebras from a given one.

Recently it was shown that the $S$-expansion of $\mathfrak{so}\left( 3,2\right) $ leads us to the Maxwell algebra $\mathcal{M}$.
In this paper we extend this result to superalgebras, by proving that different choices of abelian semigroups $S$ lead to interesting $D=4$ Maxwell Superalgebras.
In particular, the minimal Maxwell superalgebra $s\mathcal{M}$ and the $N$-extended Maxwell superalgebra $s\mathcal{M}^{\left( N\right) }$ recently found by the Maurer Cartan expansion procedure, are derived alternatively as an $S$-expansion of $\mathfrak{osp}\left( 4|N\right) $.

Built on

R. Schrader, The maxwell group and the quantum theory of particles in classical homogeneous electromagnetic fields
1972
Earlier work this paper cites.
R. D’Auria, P. Fré, Geometric Supergravity in d=11 and Its Hidden Supergroup
1982
Earlier work this paper cites.
M.B. Green, Supertranslations, Superstrings and Chern-Simons Forms
Original
1989
Earlier work this paper cites.
M. Hatsuda, M. Sakaguchi, Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction
2003
Earlier work this paper cites.
J.A. de Azcárraga, J.M. Izquierdo, M. Picón, O. Varela, Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
2003
Earlier work this paper cites.
J.A. de Azcárraga, J.M. Izquierdo, M. Picón, O. Varela, Extensions, expansions, Lie algebra cohomology and enlarged superspaces
2004
Earlier work this paper cites.
D.V. Soroka, V.A. Soroka, Tensor extension of the Poincaré algebra
2005
Earlier work this paper cites.

Similar

F. Izaurieta, E. Rodríguez, P. Salgado, Expanding Lie (super)algebras through Abelian semigroups
2006
Cited alongside, same era.
J.A. de Azcárraga, J.M. Izquierdo, M. Picón, O. Varela, Expansions of algebras and superalgebras and some applications
2007
Cited alongside, same era.
F. Izaurieta, E. Rodríguez, P. Salgado, Eleven-dimensional gauge theory for the M algebra as an Abelian semigroup expansion of osp(32 | | 1)
2008
Cited alongside, same era.
F. Izaurieta, P. Minning, A. Perez, E. Rodríguez, P. Salgado, Standard General Relativity from Chern-Simons Gravity
Original
2009
Cited alongside, same era.
J. Gomis, K. Kamimura and J. Lukierski, Deformations of Maxwell algebra and their Dynamical Realizations
Original
2009
Cited alongside, same era.

Then

J.A. de Azcarraga, K. Kamimura, J. Lukierski, Generalized cosmological term from Maxwell symmetries
Original
2011
Later among the works it cites.
K. Kamimura, J. Lukierski, Supersymmetrization Schemes of D=4 Maxwell Algebra
Original
2012
Later among the works it cites.
P.K. Concha, D.M. Peñafiel, E.K. Rodríguez, P. Salgado, Even-dimensional General Relativity from Born-Infeld gravity
Original
2013
Later among the works it cites.
J.A. de Azcarraga, J.M. Izquierdo, J. Lukierski, M. Woronowicz, Generalizations of Maxwell (super)algebras by the expansion method
Original
2013
Later among the works it cites.
P.K. Concha, D.M. Peñafiel, E.K. Rodríguez, P. Salgado, Chern-Simons and Born-Infeld gravity theories and Maxwell algebras type

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alphaXiv searches the wider corpus for related work and actual follow-ups.

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S. Bonanos, J. Gomis, K. Kamimura and J. Lukierski, Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds

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