Hamiltonian structure and noncommutativity in $p$-brane models with exotic supersymmetry

Details Hamiltonian structure and noncommutativity in $p$-brane models with exotic supersymmetry Hamiltonian structure and noncommutativity in $p$-brane models with exotic supersymmetry

2003-10-30

arxiv.org/abs/hep-th/0310284v1

JHEP0403:063,2004

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 27 pages, no figures. Latex packages amsfonts and euscript are used

Scientific paper

10.1088/1126-6708/2004/03/063

The Hamiltonian of the simplest super $p$-brane model preserving 3/4 of the D=4 N=1 supersymmetry in the centrally extended symplectic superspace is derived and its symmetries are described. The constraints of the model are covariantly separated into the first- and the second-class sets and the Dirac brackets (D.B.) are constructed. We show the D.B. noncommutativity of the super $p$-brane coordinates and find the D.B. realization of the $OSp(1|8)$ superalgebra. Established is the coincidence of the D.B. and Poisson bracket realizations of the $OSp(1|8)$ superalgebra on the constraint surface and the absence there of anomaly terms in the commutation relations for the quantized generators of the superalgebra.

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