Negative dimensional group extrapolation and dualities in N = 1 supersymmetric gauge theories

TL;DR

This paper introduces a novel approach using negative dimensional group extrapolation to explain similarities in N=1 supersymmetric SO and SP gauge theories, simplifying anomaly matching.

Contribution

It proposes the use of negative dimensional group extrapolation as a new method to understand dualities in supersymmetric gauge theories.

Findings

Negative dimensional extrapolation explains gauge theory similarities.

Anomaly matching is automatically satisfied with this approach.

Provides a new perspective on gauge theory dualities.

Abstract

We point out that the similarities in N = 1 supersymmetric SO, SP gauge theories can be explained by using the trick of extrapolating the groups to the negative dimensions. One of the advantages of this trick is that anomaly matching is automatically satisfied.