Hamiltonian analysis of symmetries in a massive theory of gravity

TL;DR

This paper constructs the Hamiltonian gauge symmetry generator for a 2+1 dimensional massive gravity theory, demonstrating its on-shell equivalence to Poincaré gauge symmetries and clarifying related subtle issues.

Contribution

It provides a systematic off-shell algorithm to derive gauge generators in a massive gravity context, linking them to known Poincaré symmetries.

Findings

Gauge generator constructed via off-shell algorithm

On-shell equivalence to Poincaré gauge symmetries established

Clarification of subtle issues in symmetry implementation

Abstract

We construct the generator of hamiltonian gauge symmetries in a 2+1 dimensional massive theory of gravity, proposed recently, through a systematic off-shell algorithm. Using a field dependant map among gauge parameters we show that the symmetries obtained from this generator are on-shell equivalent to the Poincar\'{e} gauge symmetries. We also clarify certain subtle issues concerning the implementation of this map.