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arXiv · hep-th/0310284

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

D. V. Uvarov·A. A. Zheltukhin
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Abstract

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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D. V. Uvarov, A. A. Zheltukhin. 2003-10-30. Hamiltonian structure and noncommutativity in $p$-brane models with exotic supersymmetry. https://doi.org/10.1088/1126-6708%2F2004%2F03%2F063

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