Constraints for toroidal cosmology

Details Constraints for toroidal cosmology Constraints for toroidal cosmology

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..41.3090m&link_type=abstract

Physical Review D (Particles and Fields), Volume 41, Issue 10, 15 May 1990, pp.3090-3100

Physics

4

Scientific paper

We discuss the constraints for a universe with the spatial topology of a (d-1)-dimensional torus and metric Gij. We argue that if dynamical duality exists it should lead to an O(d-1,d-1,Z)-invariant metric on superspace. We give an example of an indefinite O(d-1,d-1,Z)-invariant metric on the superspace (Gij,Bij) where Bij is the antisymmetric tensor field. On the hypersurface Bij=0 duality represents a parity time-reversal transformation of superspace.

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