Strings in pp-wave background and background B-field from membrane and its symplectic quantization

Details Strings in pp-wave background and background B-field from membrane and its symplectic quantization Strings in pp-wave background and background B-field from membrane and its symplectic quantization

2007-11-03

arxiv.org/abs/0711.0421v2

Phys.Lett.B659:399-406,2008

Physics

High Energy Physics

High Energy Physics - Theory

Accepted in Physics Letters B, some minor corrections made

Scientific paper

10.1016/j.physletb.2007.10.077

The symplectic quantization technique is applied to open free membrane and strings in pp-wave background and background gauge field obtained by compactifying the open membrane in the presence of a background anti-symmetric 3--form field. In both cases, first the Poisson brackets among the Fourier modes are obtained and then the Poisson brackets among the membrane(string) coordinates are computed. The full noncommutative phase-space structure is reproduced in case of strings in pp-wave background and background gauge field. We feel that this method of obtaining the Poisson algebra is more elegant than previous approaches discussed in the literature.

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