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

Abstract

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.

14 pages, REVTeX file

References in corpus (7)

• Quantum Theory of Geometry III: Non-commutativity of Riemannian Structures
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• Observables of the Euclidean Supergravity
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• Remarks on the Spectral Action Principle
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Cited by in corpus (3)

• On The Symplectic Two-Form of Gravity in Terms of Dirac Eigenvalues
• Toward Supergravity Spectral Action
• On the Dirac Eigenvalues as Observables of the on-shell N=2 D=4 Euclidean Supergravity