2009/03/04 by Przemysław Małkiewicz, Przemyslaw Malkiewicz, Malkiewicz, Przemyslaw +3
Physics and Astronomy · #Astro and Planetary Science #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.0903.0774
10 pages, no figures, revtex4; version submitted for publication
openalex publication_date 2009/03/04 · arxiv created 2009/05/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.