N = (2, 2) Non-Linear sigma-Models: A Synopsis

TL;DR

This paper reviews N=(2,2) supersymmetric non-linear sigma-models in two dimensions, exploring their connection to generalized Kahler and Calabi-Yau geometries, and provides an explicit illustrative example.

Contribution

It offers a comprehensive overview of the geometric structures underlying N=(2,2) sigma-models and presents a detailed example demonstrating these concepts.

Findings

Clarified the relation between sigma-models and complex geometries

Provided an explicit example of a non-trivial sigma-model

Enhanced understanding of generalized Kahler and Calabi-Yau structures

Abstract

We review N=(2,2) supersymmetric non-linear sigma-models in two dimensions and their relation to generalized Kahler and Calabi-Yau geometry. We illustrate this with an explicit non-trivial example.