Gauge symmetry and constraints structure in topologically massive AdS gravity: A symplectic viewpoint

Abstract

By applying the Faddeev-Jackiw symplectic approach we systematically show that both the local gauge symmetry and the constraint structure of topologically massive gravity with a cosmological constant $\Lambda$, elegantly encoded in the zero-modes of the symplectic matrix, can be identified. Thereafter, via an appropriate partial gauge-fixing procedure, the time gauge, we calculate the quantization bracket structure (generalized Faddeev-Jackiw brackets) for the dynamic variables and confirm that the number of physical degrees of freedom is one. This approach provides an alternative to explore the dynamical content of massive gravity models.

References in corpus (10)

• Resummation of Massive Gravity
• Massive Gravity
• Infrared-modified gravities and massive gravitons
• Interacting Spin-2 Fields
• Dark Energy and Dark Gravity
• Covariant constraints in ghost free massive gravity
• Canonical structure of topologically massive gravity with a cosmological constant
• Faddeev-Jackiw quantization and the path integral
• Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms
• Interacting spin-2 fields in three dimensions

Cited by in corpus (3)

• Faddeev-Jackiw Quantization of Christ-Lee Model
• On the Quantization of FLPR Model
• Symplectic realization of two interacting spin-two fields in three dimensions