Abstract
Chiral bosonization on an open topology in two dimensions is examined using path-integral techniques. We present detailed analysis of a proposal which defines a local and Lorentz invariant lagrangian field theory of self-dual scalars as a constrained bosonic quantum field theory. We prove that this model corresponds to a theory of bosonized Weyl fermions and we derive explicit forms of the effective action for chiral fields in background gauge and gravitational fields which exhibit gravitational (Einstein) and Lorentz anomalies. We also show how to cancel the anomaly in the chiral constraint algebra by using an auxiliary conformal field. Our results apply to both abelian and non-abelian chiral bosonization.
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