Confinement On the Moose Lattice

TL;DR

This paper introduces a new class of supersymmetric confining gauge theories based on a lattice-like network of gauge groups, revealing simple infrared behavior and potential applications in beyond Standard Model physics.

Contribution

It constructs and analyzes a novel lattice-structured supersymmetric gauge theory with confining properties and explores how its infrared dynamics depend on the lattice topology.

Findings

Infrared degrees of freedom are gauge-invariant mesons and baryons.

The lattice structure determines the confining behavior and IR properties.

Potential phenomenological applications for BSM models are proposed.

Abstract

In this work we present a new class of N=1 supersymmetric confining gauge theories, with strikingly simple infrared theories that descend from intricate interconnected networks of product gauge groups. A diagram of the gauge groups and the charged matter content of the ultraviolet theory has the structure of a triangular lattice, with $SU(N)$ or $SU(3 N)$ gauge groups at each of the vertices, connected by bifundamental chiral superfields. This structure admits a $U(1)_R$ conserving superpotential with marginal trilinear operators. With the introduction of this superpotential, the $SU(3N)$ and $SU(N)$ gauge groups confine: in the far infrared limit of the supersymmetric theory, the relevant degrees of freedom are gauge invariant "mesons" and "baryons." In this paper we show how the properties of the infrared degrees of freedom depend on the topology and shape of the moose/quiver ``lattice'' of the original gauge theory. We investigate various deformations of the theory, and propose some phenomenological applications for BSM models.