Dualities and Hidden Supersymmetry in String Quantum Cosmology

Details Dualities and Hidden Supersymmetry in String Quantum Cosmology Dualities and Hidden Supersymmetry in String Quantum Cosmology

1998-01-27

arxiv.org/abs/gr-qc/9801090v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, plain Latex, no figures

Scientific paper

A supersymmetric approach to string quantum cosmology based on the non-compact, global duality symmetries of the effective action is developed. An N=2 supersymmetric action is derived whose bosonic component is the Neveu-Schwarz/Neveu-Schwarz sector of the $(d+1)$--dimensional effective action compactified on a $d$--torus. A representation for the supercharges is found and the form of the zero-and one-fermion quantum states is determined. The purely bosonic component of the wavefunction is unique and manifestly invariant under the symmetry of the action. The formalism applies to a wide class of non-linear sigma-models.

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