Bosonization of fermions coupled to topologically massive gravity
Eduardo Fradkin (Department of Physics, Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, IL, 61801-3080, USA); Enrique F. Moreno (Department of Physics, Northeastern University, Boston, MA, 02115, USA); Fidel A. Schaposnik (Departamento de Física, Universidad Nacional de La Plata, Instituto de Física La Plata, C.C. 67, La Plata, 1900, Argentina)
We establish a duality between massive fermions coupled to topologically massive gravity (TMG) in d=3 space–time dimensions and a purely gravity theory which also will turn out to be a TMG theory but with different parameters: the original graviton mass in the TMG theory coupled to fermions picks up a contribution from fermion bosonization. We obtain explicit bosonization rules for the fermionic currents and for the energy–momentum tensor showing that the identifications do not depend explicitly on the parameters of the theory. These results are the gravitational analog of the results for 2+1 Abelian and non-Abelian bosonization in flat space–time.
