Less is More: Non-renormalization Theorems from Lower Dimensional Superspace

TL;DR

This paper introduces a novel approach using lower dimensional superspace to establish non-renormalization theorems in N=4 and N=2 Super-Yang-Mills theories, enabling exact calculations of certain Wilson loop expectation values.

Contribution

It presents a new class of non-renormalization theorems derived from lower dimensional superspace formulations, revealing exact results for specific Wilson loops in supersymmetric gauge theories.

Findings

Non-renormalization theorems for Wilson loops in N=4 and N=2 theories

Exact computation of Wilson loop expectation values

Use of lower dimensional superspace to simplify supersymmetry analysis

Abstract

We discuss a new class of non-renormalization theorems in N=4 and N=2 Super-Yang-Mills theory, obtained by using a superspace which makes a lower dimensional subgroup of the full supersymmetry manifest. Certain Wilson loops (and Wilson lines) belong to the chiral ring of the lower dimensional supersymmetry algebra, and their expectation values can be computed exactly.