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VOLUME 91 (2010) | ISSUE 12 | PAGE 690
Towards construction of geometric bosonic quantum field theories I
Abstract
We present a geometric construction of 2D chiral boson theories on manifolds with tangent bundle admitting flat connection with possible torsion. The construction is based on embedding of the theory into the supersymmetric βγ-bc system. To perform the embedding we do a covariant smooth point-splitting of vector field observables and then the fermions are killed by a strongly oscillating chiral gauge transformation.