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

Abstract

In this paper we discuss the interplay among (~super-~)coordinate, Weyl and ł 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.

21 pages, Phyzzx

References in corpus (1)

• Gravitational and Schwinger model anomalies: how far can the analogy go?

Cited by in corpus (2)

• On $T\bar{T}$ deformations and supersymmetry
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations