# Product Group S-Confinement in SUSY Gauge Theories

## TL;DR

This paper introduces new s-confining supersymmetric gauge theories with product gauge groups, identifying their gauge-invariant operators and superpotentials, which could aid in composite model building and dynamical supersymmetry breaking.

## Contribution

It presents novel s-confining theories with product gauge groups and no superpotential, expanding the landscape of confining supersymmetric models.

## Key findings

- Identified gauge-invariant operators satisfying anomaly matching.
- Constructed superpotentials reproducing classical constraints.
- Found theories that confine without chiral symmetry breaking.

## Abstract

We propose a new set of s-confining theories with product gauge groups and no tree-level superpotential, based on a model with one antisymmetric matter field and four flavors of quarks. For each product group we find a set of gauge-invariant operators which satisfy the 't Hooft anomaly matching conditions, and we identify the dynamically generated superpotential which reproduces the classical constraints between operators. Several of these product gauge theories confine without breaking chiral symmetry, even in cases where the classical moduli space is quantum-modified. These results may be useful for composite model building, particularly in cases where small meson operators are absent, or for theories with multiple natural energy scales, and may provide new ways to break supersymmetry dynamically.