Dirac quantization of membrane in time dependent orbifold

Details Dirac quantization of membrane in time dependent orbifold Dirac quantization of membrane in time dependent orbifold

2009-05-24

arxiv.org/abs/0905.3900v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figures, version accepted for publication in Journal of High Energy Physics

Scientific paper

We present quantum theory of a membrane propagating in the vicinity of a time dependent orbifold singularity. The dynamics of a membrane, with the parameters space topology of a torus, winding uniformly around compact dimension of the embedding spacetime is mathematically equivalent to the dynamics of a closed string in a flat FRW spacetime. The construction of the physical Hilbert space of a membrane makes use of the kernel space of self-adjoint constraint operators. It is a subspace of the representation space of the constraints algebra. There exist non-trivial quantum states of a membrane evolving across the singularity.

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