Nonelectromagnetic duality in twisted N=4 model

TL;DR

This paper explores correlation functions in the N=4 topological model, highlighting the role of nonelectromagnetic duality and the conditions for computability on Kahler manifolds.

Contribution

It investigates the correlation functions in N=4 supersymmetric theories, emphasizing the impact of duality and the conditions for a vanishing theorem to enable calculations.

Findings

Correlation functions depend on ghost number balance.

A perturbative mass term can break N=4 to N=1 supersymmetry.

Nonelectromagnetic duality is crucial in the analysis.

Abstract

In this paper we discuss the possible existing correlation functions in the N=4 topological model. Due to the distinguished feature that no anomaly exists in N=4 supersymmetric theories, the positive-negative ghost number balance has to be taken into account while considering the correlation functions. On restriction to Kahler manifolds we may find a perturbative mass term which breaks the N=4 supersymmetry down to N=1. In all of these, a nonelectromagnetic duality plays an important role. Moreover, to get a computable generating functional the existence of a proper vanishing theorem is required.