Abstract
We present a covariant path integral quantization of supersymmetric chiral bosons (leftons and rightons). An infinite set of auxiliary scalar superfields are introduced to convert the second-class chiral constraint into first-class ones. Our gauge-fixed action has an extended BRST symmetry described by the graded algebra GL(1|1). A regularization respecting this symmetry is proposed to deal with the contributions of the infinite towers of auxiliary fields and associated ghosts and is verified to lead to the desired partition function. We apply our formulation to give a covariant quantization of the heterotic-type NSR strings, and show that (super)conformal anomalies from all unphysical degrees of freedom are cancelled, even in noncritical dimensions. Our treatment does not suffer from Siegel gauge anomaly, because of the use of linear chiral constraints.
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