Structure in Supersymmetric Yang-Mills Theory

TL;DR

This paper demonstrates that demanding sixteen supersymmetries in quantum mechanical gauge theory leads to a complex web of constraints on interactions, which persist at all orders in the momentum expansion.

Contribution

It reveals that supersymmetry constraints in quantum gauge theories are more extensive than previously thought, affecting all orders of interaction.

Findings

Supersymmetry imposes extensive constraints on interactions.

Constraints extend to all orders in momentum expansion.

Web of interactions is more constrained than conventional wisdom suggests.

Abstract

We show that requiring sixteen supersymmetries in quantum mechanical gauge theory implies the existence of a web of constrained interactions. Contrary to conventional wisdom, these constraints extend to arbitrary orders in the momentum expansion.