Fock space methods and large N

TL;DR

This paper explores how Fock space methods and concepts like asymptotic decoupling, operator algebras, duality, and supersymmetry simplify in toy models, providing insights into quantum field theories.

Contribution

It demonstrates the simplified roles of advanced Fock space techniques in toy models, clarifying their foundational aspects in quantum field theory.

Findings

Asymptotic decoupling simplifies in toy models

Operator algebras exhibit clear structures in simplified settings

Supersymmetry plays a key role in dualities

Abstract

Ideas and techniques (asymptotic decoupling of single-trace subspace, asymptotic operator algebras, duality and role of supersymmetry) relevant in current Fock space investigations of quantum field theories have very simple roles in a class of toy models.