superconformal symmetries and models

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).

d=2, N=2 superconformally covariant operators and super W-algebras

“…where L sym 2 denotes the symmetric super Bol operator (52). This relation is nothing but the (2, 0) superconformal Ward identity [6], the superfield H ≡ H z z being interpreted as the Beltrami superfield (in the so-called restricted geometry) and the superprojective connection R as the stress-energy tensor. It expresses the superdiffeomorphism invariance of the generating functional Z c [H] in superconformal field theory.…”

“…In this section, we recall some definitions (following [6] and references therein) and we introduce some tools which are needed in the sequel.…”