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Supersymmetrization Schemes of D=4 Maxwell Algebra · Around

2011

Supersymmetrization Schemes of D=4 Maxwell Algebra

Kamimura, Kiyoshi, Lukierski, Jerzy

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The Maxwell algebra, an enlargement of Poincare algebra by Abelian tensorial generators, can be obtained in arbitrary dimension D by the suitable contraction of O(D-1,1) \oplus O(D-1,2) (Lorentz algebra \oplus AdS algebra).

We recall that in D=4 the Lorentz algebra O(3,1) is described by the realification Sp_R(2|C) of complex algebra Sp(2|C)\simeq Sl(2|C) and O(3,2)\simeq Sp(4).
We study various D=4 N-extended Maxwell superalgebras obtained by the contractions of real superalgebras OSp_R(2N-k; 2|C)\oplus OSp(k;4), (k=1,2,...,2N) (extended Lorentz superalgebra \oplus extended AdS superalgebra).
If N=1 (k=1,2) one arrives at two different versions of simple Maxwell superalgebra.

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