Classical membrane in a time dependent orbifold

Przemyslaw Malkiewicz; Wlodzimierz Piechocki

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arXiv · 0903.0774

Classical membrane in a time dependent orbifold

Przemyslaw Malkiewicz·Wlodzimierz Piechocki

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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.

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Przemyslaw Malkiewicz, Wlodzimierz Piechocki. 2009-05-10. Classical membrane in a time dependent orbifold. https://arxiv.org/abs/0903.0774

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