Deconstructing KK Monopoles

TL;DR

This paper presents a method to construct Kaluza-Klein monopole solutions within deconstructed supersymmetric gauge theories, revealing their role as fundamental constituents of instantons and solitons in various dimensions.

Contribution

It introduces a novel procedure for identifying KK monopoles in deconstructed theories, linking lattice solutions to continuum instantons and solitons, and explores their quantum properties.

Findings

KK monopoles are finite-action solutions in deconstructed 4D theories.

Lattice KK monopoles serve as constituents of continuum instantons.

Deconstructed KK monopoles are key to understanding anomalies and nonperturbative effects.

Abstract

We describe a procedure for finding Kaluza-Klein monopole solutions in deconstructed four and five dimensional supersymmetric gauge theories. In the deconstruction of a four dimensional theory, the KK monopoles are finite-action solutions of the Euclidean equations of motion of the finite lattice spacing theory. The "lattice" KK monopoles can be viewed as constituents of continuum-limit four dimensional instantons. In the five dimensional case, the KK monopoles are static finite-energy stringlike configurations, wrapped and twisted around the compact direction, and can similarly be interpreted as constituents of five dimensional finite-energy gauge solitons. We discuss the quantum numbers and zero modes of the towers of deconstructed KK monopoles and their significance for understanding anomalies and nonperturbative effects in deconstruction.