Holst Actions for Supergravity Theories

Abstract

Holst action containing Immirzi parameter for pure gravity is generalised to the supergravity theories. Supergravity equations of motion are not modified by such generalisations, thus preserving supersymmetry. Dependence on the Immirzi parameter does not emerge in the classical equations of motion. This is in contrast with the recent observation of Perez and Rovelli for gravity action containing original Holst term and a minimally coupled Dirac fermion where the classical equations of motion do develop a dependence on Immirzi parameter.

15 pages

References in corpus (10)

• Real Ashtekar Variables for Lorentzian Signature Space-times
• Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
• Real and complex connections for canonical gravity
• Quantum Gravity, Torsion, Parity Violation and all that
• Physical effects of the Immirzi parameter
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• SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter
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• Generalized Lagrangian of N = 1 supergravity and its canonical constraints with the real Ashtekar variable

Cited by in corpus (22)

• Interaction of the Barbero--Immirzi Field with Matter and Pseudo-Scalar Perturbations
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• Topological Interpretation of Barbero-Immirzi Parameter
• Anomalous Majorana Neutrino Masses from Torsionful Quantum Gravity
• Perturbative quantum gravity with the Immirzi parameter
• Critical Overview of Loops and Foams
• Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in 4D, $\mathcal{N}$ = 1 Supergravity
• Fermions in Loop Quantum Cosmology and the Role of Parity
• Topological parameters in gravity
• Holst-MacDowell-Mansouri action for (extended) supergravity with boundaries and super Chern-Simons theory
• Torsion at different scales: from materials to the Universe
• Barbero-Immirzi parameter, manifold invariants and Euclidean path integrals
• On the Role of Space-Time Foam in Breaking Supersymmetry via the Barbero-Immirzi Parameter
• Gravity Asymptotics with Topological Parameters
• Canonical supergravity with Barbero-Immirzi parameter
• Deformed BF theory as a theory of gravity and supergravity
• $\mathcal{N}=1$ Supergravity with LQG methods and quantization of the SUSY constraint
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Modifications in the Spectrum of Primordial Gravitational Waves Induced by Instantonic Fluctuations
• Matter in Loop Quantum Gravity
• Entropy of Black Holes in N=2 Supergravity
• Hamiltonian Theory: generalizations to higher dimensions, supersymmetry and modified gravity