General treatment of anomalies in (1,0) and (1,1) two-dimensional super-gravity

TL;DR

This paper analyzes anomalies in two-dimensional super-gravity models, addressing regularization ambiguities, deriving Ward identities, and relating chiral and non-chiral models through symmetry projections.

Contribution

It provides a comprehensive treatment of anomalies in (1,0) and (1,1) super-gravity, including regularization dependence and the connection between different models.

Findings

Regularization-dependent parameters are essential in the effective action.

Derived the general form of anomalous Ward identities.

Established a relation between (1,0) and (1,1) super-gravity models.

Abstract

In this paper we discuss the interplay among (~super-~)coordinate, Weyl and \l\ anomaly both in chiral and non-chiral super-gravity represented by $(1,0)$ and $(1,1)$ two-dimensional models. It is shown that for this purpose two regularization dependent parameters are needed in the effective action. We discuss in {\it full generality} the regularization ambiguities of the induced effective action and recover the corresponding general form of the anomalous Ward Identities. Finally, we explain the difference between chiral and non-chiral super-gravity models in terms of the free parameters and establish relation between these two models by projecting $(1,1)$ into $(1,0)$ super-symmetry.