We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the MaxwellChern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics. * Investigador CICBA, Argentina

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We discuss bosonization in three dimensions of an SU (N ) massive Thirring model in the low-energy regime. We find that the bosonized theory is related (but not equal) to SU (N ) Yang-Mills-Chern-Simons gauge theory. For free massive fermions bosonization leads, at low energies, to the pure SU (N ) (level k = 1) Chern-Simons theory.

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