Spinor couplings to dilaton gravity induced by the dimensional reduction of topologically massive gravity

TL;DR

This paper explores how a Dirac spinor interacts with topologically massive gravity after dimensional reduction from three to two dimensions, revealing new induced interactions involving the electromagnetic potential and dilaton scalar.

Contribution

It introduces a novel analysis of spinor couplings in reduced topologically massive gravity, including the effects of chiral rotations and induced interactions.

Findings

Induced interactions between spinor, electromagnetic potential, and dilaton scalar.

Dimensional reduction leads to new coupling structures in 2D.

Chiral rotations affect the mass eigenstates of the spinor.

Abstract

A Dirac spinor is coupled to topologically massive gravity and the D=3 dimensional action is reduced to D=2 dimensions with a metric that includes both the electromagnetic potential 1-form A and a dilaton scalar \phi. The dimensionnaly reduced spinor is made a mass eigenstate with a (local) chiral rotation. The non-trivial interactions thus induced are discussed.