nLab super-modular tensor category

Context

Monoidal categories

monoidal categories

With braiding

With duals for objects

With duals for morphisms

With traces

Closed structure

Special sorts of products

Semisimplicity

Morphisms

Internal monoids

Examples

Theorems

In higher category theory

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

Contents

Idea

Super-modular tensor categories are to modular tensor categories as spin Chern-Simons theory is to Chern-Simons theory. Concretely, these are pre-modular tensor categories whose Müger center? is equivalent as a symmetric monoidal category to that of super vector spaces.

References

Created on March 30, 2025 at 08:29:44. See the history of this page for a list of all contributions to it.