Quantum Modified Mooses

TL;DR

This paper investigates the quantum moduli constraints and superpotentials of an infinite family of moose extensions of SUSY QCD with equal flavors and colors, revealing local constraints and splitting relations that simplify calculations.

Contribution

It introduces a detailed analysis of quantum moduli constraints in moose extensions of SUSY QCD, including concrete calculations and the development of splitting relations for arbitrary color numbers.

Findings

Quantum moduli constraints are local in theory space.

Splitting relations connect different theories within the moose chain.

Rules for flowing from high to low energy theories are established.

Abstract

We summarize our findings on the quantum moduli constraints and superpotentials of an infinite family of moose extensions of $n_f = n_c$ SUSY QCD. For $n_c=2$, we perform concrete calculations using traditional integrating out techniques as well as Intriligator's ``integrating in'' technique. Checking the constraints and superpotentials in the limits of setting $\Lambda$'s to zero or integrating out mass terms, we find that the quantum moduli constraints are local in theory space and are equivalent to a consistent structure of ``splitting relations'' amongst the different theories. Extending the results to arbitrary $n_c$, we show that the splitting relations, along with a set of rules for flowing from a high energy theory to a low energy theory, incorporate much of the physics of the moose chain. The relations can be used both to simplify perturbative calculations of symmetry breaking and to incorporate nonperturbative effects.