On Local Constraints of D=4 Supergravity in Terms of Dirac Eigenvalues

Details On Local Constraints of D=4 Supergravity in Terms of Dirac Eigenvalues On Local Constraints of D=4 Supergravity in Terms of Dirac Eigenvalues

1998-12-02

arxiv.org/abs/gr-qc/9812009v1

Mod.Phys.Lett. A13 (1998) 3091-3098

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, REVTeX file, to be published in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732398003296

It has been recently shown that in order to have Dirac eigenvalues as observables of Euclidean supergravity, certain constraints should be imposed on the covariant phase space as well as on Dirac eigenspinors. We investigate the relationships among the constraints in the first set and argue that these relationships are not linear. We also derive a set of equations expressing the linear dependency of the constraints in order that the second set of constraints be linearly independent.

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