Classical membrane in a time dependent orbifold
General Relativity and Quantum Cosmology
2009-05-10 v2
Abstract
We analyze classical theory of a membrane propagating in a singular background spacetime. The algebra of the first-class constraints of the system defines the membrane dynamics. A membrane winding uniformly around compact dimension of embedding spacetime is described by two constraints, which are interpreted in terms of world-sheet diffeomorhisms. The system is equivalent to a closed bosonic string propagating in a curved spacetime. Our results may be used for finding a quantum theory of a membrane in the compactified Milne space.
Keywords
Cite
@article{arxiv.0903.0774,
title = {Classical membrane in a time dependent orbifold},
author = {Przemyslaw Malkiewicz and Wlodzimierz Piechocki},
journal= {arXiv preprint arXiv:0903.0774},
year = {2009}
}
Comments
10 pages, no figures, revtex4; version submitted for publication