English

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

High Energy Physics - Theory 2008-11-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0711.0421,
  title  = {Strings in pp-wave background and background B-field from membrane and its symplectic quantization},
  author = {Sunandan Gangopadhyay},
  journal= {arXiv preprint arXiv:0711.0421},
  year   = {2008}
}

Comments

Accepted in Physics Letters B, some minor corrections made

R2 v1 2026-06-21T09:39:25.994Z