Superconformal Ward Identities and N=2 Yang-Mills Theory

TL;DR

The paper reformulates superconformal Ward identities for N=1 and N=2 theories, applying them to N=2 Yang-Mills to derive conditions on the effective action, confirming Seiberg-Witten solutions.

Contribution

It introduces a unified formulation of superconformal Ward identities for N=1 and N=2 theories and applies this to analyze N=2 Yang-Mills, deriving conditions consistent with Seiberg-Witten theory.

Findings

Derived a new form of superconformal Ward identities for N=1 and N=2 theories.

Established a condition on the low energy effective action of N=2 Yang-Mills.

Confirmed that the Seiberg-Witten solution satisfies the derived conditions.

Abstract

A reformulation of the superconformal Ward identities that combines all the superconformal currents and the associated parameters in one multiplet is given for theories with rigid N=1 or N=2 supersymmetry. This form of the Ward Identities is applied to spontaneously broken N=2 Yang-Mills theory and used to derive a condition on the low energy effective action. This condition is satisfied by the solution proposed by Seiberg and Witten.