Supersymmetric Nonlinear Sigma Models on Ricci-flat Kahler Manifolds with O(N) Symmetry

TL;DR

This paper introduces a new class of N=2 supersymmetric nonlinear sigma models formulated on Ricci-flat Kähler manifolds exhibiting O(n) symmetry, expanding the understanding of supersymmetric models in complex geometry.

Contribution

It constructs and analyzes supersymmetric sigma models on Ricci-flat Kähler manifolds with O(n) symmetry, a novel integration of supersymmetry with special geometric structures.

Findings

Models exhibit N=2 supersymmetry on Ricci-flat Kähler backgrounds

O(n) symmetry is preserved in the constructed models

Potential applications in string theory and complex geometry

Abstract

We propose a class of N=2 supersymmetric nonlinear sigma models on the Ricci-flat Kahler manifolds with O(n) symmetry.