Kazama-Suzuki Models of N=2 Superconformal Field Theory and Manin triples

TL;DR

This paper reformulates Kazama-Suzuki N=2 superconformal models using Manin triples, providing explicit algebraic representations and establishing links to Poisson homogeneous spaces, advancing the mathematical understanding of these models.

Contribution

It introduces a new formulation of Kazama-Suzuki models via Manin triples and explicitly constructs the N=2 Virasoro superalgebra currents.

Findings

Explicit representation of N=2 Virasoro superalgebra currents

Connection between Kazama-Suzuki models and Poisson homogeneous spaces

Generalized formulation using Manin triples

Abstract

Kazama-Suzuki coset models is an interesting class of N=2 supersymmetric models of conformal field theory which are used to build realistic models of superstring in 4 dimensions. We formulate Kazama-Suzuki construction of N=2 superconformal coset models using more general language of Manin triples and represent the corresponding N=2 Virasoro superalgebra currents in explicit form. A correspondence between the Kazama-Suzuki models and Poisson homogeneous spaces is established also.