On the Dirac eigenvalues as observables of the on-shell N = 2D = 4 Euclidean supergravity

• Authors: Ion Vancea
• Languages of publication: EN

Abstracts

EN

We generalize previous works on the Dirac eigenvalues as dynamical variables of 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 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.

Keywords

EN

supergravity; quantum gravity; canonical quantization

Discipline

• 04.65.+e: Supergravity(see also 12.60.Jv Supersymmetric models; 11.15.Wx Topologically massive gauge theories, and 11.15.Yc Chern-Simons gauge theory)
• 04.60.-m: Quantum gravity(see also 11.25.-w Strings and branes; 11.15.Wx Topologically massive gauge theories, and 11.15.Yc Chern-Simons gauge theory)
• 04.60.Ds: Canonical quantization

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 4
• Pages: 864-871

Dates

published

1 - 12 - 2008

online

27 - 9 - 2008

Contributors

author

Ion Vancea

• Grupo de Física Teórica e Matemática Física, Departamento de Física, Universidade Federal Rural do Rio de Janeiro (UFRRJ), Cx. Postal 23851, BR 465 Km 7, 23890-000, Seropédica-RJ, Brasil

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Identifiers

DOI

10.2478/s11534-008-0116-z