Two-dimensional N=1,2 Supersymmetric Chiral and Dual Models

TL;DR

This paper introduces and quantizes two-dimensional N=1,2 supersymmetric chiral and dual models, demonstrating their invariance properties and algebraic structures within a superspace formalism.

Contribution

It presents the formulation, canonical quantization, and invariance proofs of 2D N=1,2 supersymmetric chiral and dual models using a superspace approach.

Findings

SuperVirasoro algebras recovered as current algebras

Non-anomalous quantum invariances established for models

Super-Coulomb gas representation explains invariance

Abstract

Two-dimensional N=1,2 supersymmetric chiral models and their dual extensions are introduced and canonically quantized. Working within a superspace formalism, the non-manifest invariance under 2D-superPoincare' transformations is proven. The N=1,2 superVirasoro algebras are recovered as current algebras. The non-anomalous quantum invariances under 1D-superdiffeomorphisms (for chiral models) and N=1,2 superconformal transformations (for dual models) are shown to be a consequence of an N=1,2 super-Coulomb gas representation.