d=2, N=2 Superconformal Symmetries and Models

TL;DR

This paper explores the structure and formulation of two-dimensional N=2 superconformal theories on compact super Riemann surfaces, focusing on parametrization, models, and associated symmetries.

Contribution

It provides a detailed parametrization of superconformal structures and formulates superconformal models, including actions, anomalies, and Ward identities, on compact super Riemann surfaces.

Findings

Parametrization of (2,0) and (2,2) superconformal structures using Beltrami coefficients

Formulation of invariant actions and analysis of anomalies in superconformal models

Derivation of Ward identities for superconformal theories

Abstract

We discuss the following aspects of two-dimensional N=2 supersymmetric theories defined on compact super Riemann surfaces: parametrization of (2,0) and (2,2) superconformal structures in terms of Beltrami coefficients and formulation of superconformal models on such surfaces (invariant actions, anomalies and compensating actions, Ward identities).