Polynomial Fusion Rings of Logarithmic Minimal Models

TL;DR

This paper identifies polynomial rings that are structurally identical to the fusion algebras in logarithmic minimal models, providing a new algebraic perspective on these models.

Contribution

It introduces quotient polynomial rings that are isomorphic to the fundamental fusion algebras of logarithmic minimal models, revealing their algebraic structure.

Findings

Fusion algebras are isomorphic to quotient polynomial rings

Provides algebraic framework for logarithmic minimal models

Enhances understanding of fusion rules in logarithmic CFTs

Abstract

We identify quotient polynomial rings isomorphic to the recently found fundamental fusion algebras of logarithmic minimal models.