Constraints on spacetime manifold in Euclidean supergravity in terms of Dirac eigenvalues

Details Constraints on spacetime manifold in Euclidean supergravity in terms of Dirac eigenvalues Constraints on spacetime manifold in Euclidean supergravity in terms of Dirac eigenvalues

1998-07-06

arxiv.org/abs/gr-qc/9807011v1

Int.J.Mod.Phys. A15 (2000) 2093-2104

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, REVTeX file

Scientific paper

10.1142/S0217751X00000860

We generalize previous work on Dirac eigenvalues as dynamical variables of
Euclidean supergravity. The most general set of constraints on the curvatures
of the tangent bundle and on the spinor bundle of the spacetime manifold under
which spacetime admits Dirac eigenvalues as observables, are derived.

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