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AdS--Maxwell superalgebra and supergravity · Around

2011

AdS--Maxwell superalgebra and supergravity

Durka, R., Kowalski-Glikman, J., Szczachor, M.

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In this paper we derive the Anti de Sitter counterpart of the super-Maxwell algebra presented recently by Bonanos et.\ al.

Then we gauge this algebra and derive the corresponding supergravity theory, which turns out to be described by the standard N=1 supergravity lagrangian, up to topological terms.

Built on

H. Bacry, P. Combe, J. L. Richard, “Group-theoretical analysis of elementary particles in an external electromagnetic field. 1. the relativistic particle in a constant and uniform field,” Nuovo Cim
1970
Earlier work this paper cites.
R. Schrader, “The maxwell group and the quantum theory of particles in classical homogeneous electromagnetic fields,” Fortsch. Phys
1972
Earlier work this paper cites.
S. Bonanos, J. Gomis, “Infinite Sequence of Poincare Group Extensions: Structure and Dynamics,” J. Phys. A
Original
2010
Earlier work this paper cites.

Similar

S. Bonanos, J. Gomis, K. Kamimura, J. Lukierski, “Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds,” Phys. Rev. Lett
Original
2010
Cited alongside, same era.
S. Bonanos, J. Gomis, K. Kamimura, J. Lukierski, “Deformations of Maxwell Superalgebras and Their Applications,” J. Math. Phys
Original
2010
Cited alongside, same era.
R. Durka, J. Kowalski-Glikman, M. Szczachor, “Supergravity as a constrained BF theory,” Phys. Rev
Original
2010
Cited alongside, same era.
R. Durka, J. Kowalski-Glikman, M. Szczachor, “Gauged AdS-Maxwell algebra and gravity,” [arXiv:1107.4728 [hep-th]]
Original
Cited in the paper.
D. V. Soroka, V. A. Soroka, “Gauge semi-simple extension of the Poincaré group,” [arXiv:1101.1591 [hep-th]]
Original
Cited in the paper.
A. Starodubtsev, “Topological excitations around the vacuum of quantum gravity. I: The symmetries of the vacuum,” arXiv:hep-th/0306135
Cited in the paper.
L. Smolin and A. Starodubtsev, “General relativity with a topological phase: An action principle,” arXiv:hep-th/0311163
Cited in the paper.
L. Freidel and A. Starodubtsev, “Quantum gravity in terms of topological observables,” arXiv:hep-th/0501191
Cited in the paper.

Then

J. Lukierski, “Generalized Wigner-Inonu Contractions and Maxwell (Super)Algebras,” Proc. Steklov Inst. Math
Original
2011
Closest in time.
J. A. de Azcarraga, K. Kamimura, J. Lukierski, “Generalized cosmological term from Maxwell symmetries,” Phys. Rev
Original
2011
Closest in time.

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