nLab
3-category of fermionic conformal nets

Contents

Context

Super-Algebra and Super-Geometry

AQFT

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

String theory

Contents

Idea

A categorification of the 2-category of Clifford algebras and bimodules between them. The “2-Clifford algebra” objects are spinning string theories, modeled as fermionic conformal nets.

This is supposedly related to the String 2-group and superstrings as Clifford algebras are related to the spin group and spinning particles.

(…)

References

A somewhat novel take on fermionic conformal nets is presented and studied in

where fermionic conformal nets are arranged into a tricategory with symmetric monoidal structure that is a delooping of the bicategory of von Neumann algebras and bimodules between these. Among other things, this work connects the AQFT notion of conformal nets with the FQFT notion of cobordism representations.

More on this in

Created on May 7, 2013 at 23:44:21. See the history of this page for a list of all contributions to it.