Noncommutative supergravity in D=3 and D=4

Details Noncommutative supergravity in D=3 and D=4 Noncommutative supergravity in D=3 and D=4

2009-02-23

arxiv.org/abs/0902.3823v2

JHEP 0906:087,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX. We discuss in more depth the noncommutative deformation of D=4 simple supergravity, and how noncommutativity

Scientific paper

10.1088/1126-6708/2009/06/087

We present a noncommutative D=3, N=1 supergravity, invariant under diffeomorphisms, local U(1,1) noncommutative \star-gauge transformations and local \star-supersymmetry. Its commutative limit is the usual D=3 pure supergravity, without extra fields. A noncommutative deformation of D=4, N=1 supergravity is also obtained, reducing to the usual simple supergravity in the commutative limit. Its action is invariant under diffeomorphisms and local GL(2,C) \star-gauge symmetry. The supersymmetry of the commutative action is broken by noncommutativity. Local \star-supersymmetry invariance can be implemented in a noncommutative D=4, N=1 supergravity with chiral gravitino and complex vierbein.

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