Local fields in boundary conformal QFT

TL;DR

This paper analyzes boundary conformal quantum field theory using algebraic methods, focusing on the structure of local algebras and boundary conditions, and characterizes the field content via non-local chiral algebras.

Contribution

It provides a detailed algebraic framework for boundary CFT, clarifying the structure of local algebras and boundary conditions in terms of non-local chiral field algebras.

Findings

Characterization of boundary conditions through non-local chiral algebras

Clarification of the algebraic structure of local algebras in boundary CFT

Description of bi-localized charge structures of local fields

Abstract

Conformal field theory on the half-space x>0 of Minkowski space-time ("boundary CFT") is analyzed from an algebraic point of view, clarifying in particular the algebraic structure of local algebras and the bi-localized charge structure of local fields. The field content and the admissible boundary conditions are characterized in terms of a non-local chiral field algebra.