AMSB in $Sp(N_c)$ Gauge Theories

TL;DR

This paper investigates the effects of Anomaly Mediated Supersymmetry Breaking on $Sp(N_c)$ gauge theories, demonstrating the existence of stable chiral symmetry breaking minima across a range of flavors, with implications for QCD-like theories.

Contribution

It provides a detailed analysis of minima in AMSB-perturbed $Sp(N_c)$ theories, including strongly coupled cases, showing stable symmetry breaking vacua are present.

Findings

All applicable $Sp(N_c)$ theories have stable chiral symmetry breaking minima.

Minima are plausibly connected to QCD-like vacua at large SUSY breaking.

Minima are protected from runaway directions.

Abstract

We present a careful study of the chiral symmetry breaking minima and other potential minima in supersymmetric symplectic QCD ($Sp(N_c)$ with $N_f$ flavors) perturbed by Anomaly Mediated Supersymmetry Breaking (AMSB). Although the case of $N_f = N_c +1$ requires particular care due to the inherently strongly coupled nature of the quantum modified moduli space, we are able to show that all $Sp(N_c)$ theories to which AMSB can be applied ($N_f < 3(N_c + 1)$) possess stable chiral symmetry breaking minima, which are plausibly continuously connected to the vacua of QCD-like $Sp(N_c)$ theories for large SUSY breaking, and are protected from runaways to incalculable minima.