Chern-Simons Gravity with (Curvature)${}^2$- and (Torsion)${}^2$-Terms and A Basis of Degree-of-Freedom Projection Operators

Abstract

We investigate the effects of (Curvature)${}^2$- and (Torsion)${}^2$- terms in the Einstein-Hilbert-Chern-Simons Lagrangian. The purposes are two-fold: (i) to show the efficacy of an orthogonal basis of degree-of-freedom projection operators recently proposed and to ascertain its adequacy for obtaining propagators of general parity-breaking gravity models in three dimensions; (ii) to analyze the role of the topological Chern-Simons term for the unitarity and the particle spectrum of the model squared-curvature terms in connection with dynamical torsion. Our conclusion is that the Chern-Simons term does not influence the unitarity conditions imposed on the parameters of the Lagrangian, but significantly modifies the particle spectrum.

17 pages

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• 3D gravity with propagating torsion: the AdS sector
• Some interesting features of new massive gravity
• 3D gravity with propagating torsion: Hamiltonian structure of the scalar sector
• Vaidya-like exact solutions with torsion
• Non-linearly ghost-free higher curvature gravity
• Gravitational waves with torsion in 3D
• Considerations on the Graviton Excitation Modes of Horava-Lifshitz Gravity
• The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity
• A Discussion on Possible Effects of the Barbero-Immirzi Parameter at the TeV-scale Particle Physics
• Poincaré gauge theory in 3D: canonical stability of the scalar sector