All minimal supergravity extensions of 2d dilaton theories

TL;DR

This paper classifies all minimal supergravity extensions of 2d dilaton theories using graded Poisson sigma models, simplifying the formulation by avoiding superfluous fields and highlighting the ambiguity in generalizations.

Contribution

It provides a comprehensive classification of minimal supergravity extensions of 2d dilaton theories via graded Poisson sigma models, streamlining their formulation.

Findings

All minimal supergravity extensions are covered by the graded Poisson sigma model framework.

Superfields and auxiliary fields are unnecessary in this formulation.

Generalizations of bosonic 2d models are highly ambiguous.

Abstract

The formulation of 2d-dilaton theories, like spherically reduced Einstein gravity, is greatly facilitated in a formulation as a first order theory with nonvanishing bosonic torsion. This is especially also true at the quantum level. The interpretation of superextensions as graded Poisson sigma models is found to cover generically all possible 2d supergravities. Superfields and thus superfluous auxiliary fields are avoided altogether. The procedure shows that generalizations of bosonic 2d models are highly ambiguous.