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

Abstract

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.

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

References in corpus (3)

• General Relativity in terms of Dirac Eigenvalues
• Gravity from Dirac Eigenvalues
• Observables of the Euclidean Supergravity

Cited by in corpus (3)

• Duality of Coordinates and Matter Fields in Curved Spacetime
• Constraints on spacetime manifold in Euclidean supergravity in terms of Dirac eigenvalues
• On The Symplectic Two-Form of Gravity in Terms of Dirac Eigenvalues