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arXiv · 1401.3018

Bosonization of fermions coupled to topologically massive gravity

Eduardo Fradkin·Enrique F. Moreno·Fidel A. Schaposnik
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Abstract

We establish a duality between massive fermions coupled to topologically massive gravity (TGM) in $d=3$ space-time dimensions and a purely gravity theory which also will turn out to be a TGM theory but with different parameters: the original graviton mass in the TGM 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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Eduardo Fradkin, Enrique F. Moreno, Fidel A. Schaposnik. 2014-01-13. Bosonization of fermions coupled to topologically massive gravity. https://doi.org/10.1016/j.physletb.2014.01.057

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