TL;DR
This paper introduces a new chiral boson model with customizable central charges and a supersymmetric extension, advancing the understanding of chiral bosonization and its geometric couplings.
Contribution
It presents a novel bosonic model with adjustable chiral properties and a supersymmetric version, expanding the theoretical framework of chiral conformal systems.
Findings
Achieves arbitrary left and right central charges through background charge tuning.
Provides a supersymmetric extension of the chiral boson model.
Identifies the effective action induced by chiral superconformal matter.
Abstract
We introduce a new model describing a bosonic system with chiral properties. It consists of a free boson with two peculiar couplings to the background geometry which generalizes the Feigen-Fuchs-Dotsenko-Fateev construction. By choosing the two background charges of the model, it is possible to achieve any prefixed value of the left and right central charges and, in particular, obtain chiral bosonization. A supersymmetric version of the model is also given. We use the latter to identify the effective action induced by chiral superconformal matter.
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