$O(d,d)$ Symmetry in Quantum Cosmology

Details $O(d,d)$ Symmetry in Quantum Cosmology $O(d,d)$ Symmetry in Quantum Cosmology

1996-02-15

arxiv.org/abs/hep-th/9602084v2

Nucl.Phys. B477 (1996) 549-566

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, no figures. No changes at all. Replaced due to a .ps file problem

Scientific paper

10.1016/0550-3213(96)00393-8

We analyze the quantum cosmology of one--loop string effective models which exhibit an $O(d,d)$ symmetry. It is shown that due to the large symmetry of these models the Wheeler--de Witt equation can completely be solved. As a result, we find a basis of solutions with well defined transformation properties under $O(d,d)$ and under scale factor duality in particular. The general results are explicitly applied to 2--dimensional target spaces while some aspects of higher dimensional cases are also discussed. Moreover, a semiclassical wave function for the 2-dimensional black hole is constructed as a superposition of our basis.

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