Projective superspace and hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces

TL;DR

This paper reviews the construction of four-dimensional N=2 supersymmetric sigma models on (co)tangent bundles of classical Hermitian symmetric spaces using projective superspace methods.

Contribution

It provides a comprehensive review of the projective superspace approach to formulating N=2 sigma models on these geometric spaces.

Findings

Clarifies the geometric structure of sigma models on Hermitian symmetric spaces.

Details the construction of models on cotangent bundles.

Summarizes the role of projective superspace in supersymmetric model building.

Abstract

We review the projective-superspace construction of four-dimensional N=2 supersymmetric sigma models on (co)tangent bundles of the classical Hermitian symmetric spaces.