On the super Wess-Zumino-Novikov-Witten model and 2D supergravity

A recent work has elucidated the deep connection between Wess-Zumino-Novkov-Witten (WZNW) model and 2D gravity. It considers a gauge field coupled to WZNW model. The authors present a supersymmetric extension of those considerations. Imposing weak gauge fixing and some consistency conditions about soldering, they derive an analogous connection between super Kac-Moody and super Virasoro theories. They elaborate the cases of (1.1) and (1.0) supersymmetry, after which extension for the case of (m · n) supersymmetric theories becomes straightforward