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On the Dirac Eigenvalues as Observables of the on-shell N=2 D=4 Euclidean Supergravity

Ion V. Vancea
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Abstract

We generalize previous works on the Dirac eigenvalues as dynamical variables of the Euclidean gravity and N=1 D=4 supergravity to on-shell N=2 D=4 Euclidean supergravity. The covariant phase space of the theory is defined as as the space of the solutions of the equations of motion modulo the on-shell gauge transformations. In this space we define the Poisson brackets and compute their value for the Dirac eigenvalues.

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Ion V. Vancea. 2008-03-12. On the Dirac Eigenvalues as Observables of the on-shell N=2 D=4 Euclidean Supergravity. https://doi.org/10.2478/s11534-008-0116-z

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