The action of N=4 Super Yang-Mills from a chiral primary operator

TL;DR

This paper explores the structure of N=4 Super Yang-Mills theory using a twisted formulation, identifying key supercharges and relating the gauge-fixed action to a chiral primary operator, extending previous reduction formulas.

Contribution

It introduces a twisted version of N=4 Super Yang-Mills that highlights relevant supercharges and links the gauge-fixed action to a chiral primary operator, extending Intriligator's reduction formula.

Findings

Identification of relevant supercharges for nonrenormalization

Relationship between gauge-fixed action and chiral primary operator

Off-shell extension of Intriligator's reduction formula

Abstract

Using the Vafa-Witten twisted version of N=4 Super Yang-Mills a subset of the supercharges actually relevant for the nonrenormalization properties of the theory is identified. In particular, a relationship between the gauge-fixed action and the chiral primary operator tr(\phi)^2 is worked out. This result can be understood as an off-shell extension of the reduction formula introduced by Intriligator.