nLab bosonization

Contents

Context

Algebraic Quantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Spin geometry

Contents

Idea

In (2d) conformal field theories, certain fermion-fields may be re-expressed as chiral boson fields – this is called bosonization.

The converse of bosonization explains for instance why chiral bosons have partition functions like Pfaffian line bundles in 2d, namely theta functions (…) (Alvares-Gaumé-, Bost, Moore, Nelson & Vafa 1987).

References

Lecture notes and surveys include

See also:

Discussion for 3d CFTs (such as the ABJM model):

Last revised on July 20, 2022 at 12:40:51. See the history of this page for a list of all contributions to it.