SL(2,R)-Symmetry and Noncommutative Phase Space in (2+2) Dimensions

Details SL(2,R)-Symmetry and Noncommutative Phase Space in (2+2) Dimensions SL(2,R)-Symmetry and Noncommutative Phase Space in (2+2) Dimensions

2008-09-19

arxiv.org/abs/0809.3429v4

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex, some improvements introduced

Scientific paper

We generalize the connection between 2t physics and noncommutative geometry. In particular, we apply our formalism to a target spacetime of signature (2+2). Specifically, we compute an algebra of a generalized SL(2, R)-Hamiltonian constraint, showing that it satisfies a kind of algebra associated with the noncommutative group $U_{\star}(1,1)$. We also comment about a possible connection between our formalism and nonsymmetric gravitational theory.

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