TY - JOUR

T1 - Bosonization of fermions coupled to topologically massive gravity

AU - Fradkin, Eduardo

AU - Moreno, Enrique F.

AU - Schaposnik, Fidel A.

N1 - Funding Information:
We would like to thank G. Giribet for helpful comments. This work is supported in part by the National Science Foundation through the grant DMR-1064319 at the University of Illinois, USA (E.F.) and by CONICET , ANPCYT , CIC , and UNLP , Argentina (F.A.S.).

PY - 2014/3/7

Y1 - 2014/3/7

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2014.01.057

DO - 10.1016/j.physletb.2014.01.057

M3 - Article

AN - SCOPUS:84894088720

VL - 730

SP - 284

EP - 287

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -