Canonical supergravity with Barbero-Immirzi parameter

Abstract

A canonical formulation of the N=1 supergravity theory containing the topological Nieh-Yan term in its Lagrangian density is developed. The constraints are analysed without choosing any gauge. In the time gauge, the theory is shown to be described in terms of real SU(2) variables.

References in corpus (4)

• Fermions in Ashtekar-Barbero Connections Formalism for Arbitrary Values of the Immirzi Parameter
• Topological Interpretation of Barbero-Immirzi Parameter
• Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in 4D, $\mathcal{N}$ = 1 Supergravity
• Holst Actions for Supergravity Theories

Cited by in corpus (8)

• Anomalous Majorana Neutrino Masses from Torsionful Quantum Gravity
• Topological parameters in gravity
• Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector
• On the Role of Space-Time Foam in Breaking Supersymmetry via the Barbero-Immirzi Parameter
• Gravity Asymptotics with Topological Parameters
• SU(2) gauge theory of gravity with topological invariants
• Matter in Loop Quantum Gravity
• Revisiting canonical gravity with fermions