Generalized K$\ddot{a}$hler Geometry in Kazama-Suzuki coset models

TL;DR

This paper demonstrates that the Kazama-Suzuki conditions for N=2 superconformal coset models lead to the emergence of Generalized Kähler geometry on the target space of the associated supersymmetric sigma-model.

Contribution

It establishes a direct link between Kazama-Suzuki conditions and Generalized Kähler geometry in N=2 superconformal coset models, revealing geometric structures from algebraic conditions.

Findings

Kazama-Suzuki conditions determine Generalized Kähler geometry.

The target space geometry of N=2 sigma-models is characterized by these conditions.

The work connects algebraic symmetry conditions with geometric structures.

Abstract

It is shown that Kazama-Suzuki conditions for the denominator subgroup of N=2 superconformal $G/H$ coset model determine Generalized K$\ddot{a}$hler geometry on the target space of the corresponding N=2 supersymmetric $\sigma$-model.