Duality walls and defects in 5d N=1 theories

TL;DR

This paper introduces a detailed description of duality walls in 5d N=1 theories, revealing how they encode global symmetry enhancements and lead to new integral equations for instanton partition functions.

Contribution

It provides an explicit construction of duality walls in 5d N=1 theories and demonstrates their role in symmetry enhancement and novel integral equations.

Findings

Duality walls encode UV symmetry enhancements.

Instanton partition functions satisfy new integral equations.

Localization computations support the proposal.

Abstract

We propose an explicit description of duality walls which encode at low energy the global symmetry enhancement expected in the UV completion of certain five-dimensional gauge theories. The proposal is supported by explicit localization computations and implies that the instanton partition function of these theories satisfies novel and unexpected integral equations.