Chiral algebras for superconformal interacting bosons

TL;DR

This paper develops a calculus to determine the chiral algebras of N=2 superconformal interacting bosonic models, revealing a common 'almost Landau Ginzburg' structure across many examples.

Contribution

It introduces a new calculus for analyzing chiral algebras in superconformal models and identifies a universal algebraic structure called almost Landau Ginzburg.

Findings

Shared algebraic structure across models

Number of relations equals number of generators for simple cases

Algebraic independence of relations in basic generators

Abstract

A sort of calculus is developed to find the chiral algebras of N=2 superconformal interacting bosonic models. Many examples are discussed. It is shown that the algebras share a common structure, which we call almost Landau Ginzburg. For one or two generators, the number of relations is equal to the number of generators and they are algebraically independent.