Supersymmetric microsuperspace quantization for the Taub model

Physics

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Supergravity

Scientific paper

The quantum microsuperspace sector of the Taub models is analyzed using N=1 supergravity. We obtain Dirac-like equations with a nonminimal coupling, in contrast with standard quantum cosmology where no potential is present. The solution resembles the form ψADM=ψAexp(+/-iSA), where ψA and SA are defined in the Ashtekar-Wheeler-DeWitt formalism but for SA a matrix for each potential term appears.

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