Alternative derivation of Krasnov's action for general relativity

Abstract

Starting from Plebanski's action for general relativity with cosmological constant, we show that by integrating out all the auxiliary fields Krasnov's action immediately emerges. We also perform the Hamiltonian analysis of the latter and show that the constraints are those of the Ashtekar formalism.

4 pages

References in corpus (5)

• The Spin Foam Approach to Quantum Gravity
• New Action Principle for General Relativity
• Gravity as a diffeomorphism invariant gauge theory
• Pure Connection Formalism for Gravity: Linearized Theory
• BF gravity with Immirzi parameter and cosmological constant

Cited by in corpus (9)

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• Spacetime and dark matter from spontaneous breaking of Lorentz symmetry
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• Pure Lorentz spin connection theories and uniqueness of General Relativity
• Plebanski-like action for general relativity and anti-self-dual gravity
• Field redefinitions and Plebanski formalism for GR
• Polynomial $BF$-type action for general relativity and anti-self-dual gravity
• Canonical analysis of unimodular Plebański gravity
• Constructing the theory at the boundary, its dynamics and degrees of freedom