Conformal boundary conditions and 3D topological field theory

TL;DR

This paper explores how three-dimensional topological field theories can be used to understand boundary conditions in two-dimensional conformal field theories, offering a new perspective on their mathematical structure.

Contribution

It introduces a novel approach linking 3D topological field theories with boundary conditions in 2D conformal field theories, expanding the theoretical framework.

Findings

Establishes a correspondence between 3D TFT and 2D boundary conditions

Provides a new method to construct boundary states in CFT

Enhances understanding of topological invariants in boundary phenomena

Abstract

Topological field theory in three dimensions provides a powerful tool to construct correlation functions and to describe boundary conditions in two-dimensional conformal field theories.