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

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 dimensionally reduced spinor is made a mass eigenstate with a (local) chiral rotation. The non-trivial interactions thus induced are discussed.