Asymptotic symmetry and conservation laws in 2d Poincar\'e gauge theory of gravity

TL;DR

This paper clarifies the asymptotic symmetry structure in 2D Poincaré gauge gravity using Hamiltonian formalism, explicitly constructing conserved quantities for general asymptotic conditions.

Contribution

It introduces an improved generator for asymptotic symmetries and explicitly constructs conserved quantities in 2D Poincaré gauge gravity.

Findings

Improved form of the asymptotic symmetry generator.

Explicit conserved quantities for general asymptotic behaviors.

Clarification of asymptotic symmetry structure in 2D gravity.

Abstract

The structure of the asymptotic symmetry in the Poincar\'e gauge theory of gravity in 2d is clarified by using the Hamiltonian formalism. The improved form of the generator of the asymptotic symmetry is found for very general asymptotic behaviour of phase space variables, and the related conserved quantities are explicitly constructed.