Supersymmetric extension of the Hull--Lambert--Sen chiral boson on the 2-Torus

We present a supersymmetric extension of the Hull-Lambert-Sen chiral boson model. The two-metric formulation developed by Hull provides a powerful and tractable framework for the quantization of chiral bosons, and we demonstrate that it admits a natural supersymmetric generalization. We construct the theory explicitly on the two-torus and analyze its coupling to external sources.