Basic symplectic geometry for p-branes with thickness in a curved background
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
We show that the Witten covariant phase space for p-branes with thickness in an arbitrary background is endowed of a symplectic potential, which although is not important to the dynamics of the system, plays a relevant role on the phase space, allowing us to generate a symplectic structure for the theory and therefore give a covariant description of canonical formalism for quantization.
Keywords
Cite
@article{arxiv.math-ph/0407040,
title = {Basic symplectic geometry for p-branes with thickness in a curved background},
author = {Alberto Escalante},
journal= {arXiv preprint arXiv:math-ph/0407040},
year = {2009}
}
Comments
15 pages. To be published in Journal Modern Physics Letters A