nLab
topological twist

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

Functorial quantum field theory

Contents

Idea

A procedure for producing (Lagrangians for) topological quantum field theories from non-topological but supersymmetric QFTs.

The general mechanism is explained a bit at topologically twisted D=4 super Yang-Mills theory.

See also at

References

The influential idea goes back to

  • Edward Witten, Introduction to cohomological field theory, InternationalJournal of Modern Physics A, Vol. 6,No 6 (1991) 2775-2792 (pdf)

Mathematical formalization and classification is discussed in

For more see the references at topologically twisted D=4 super Yang-Mills theory.

Last revised on July 16, 2018 at 06:09:17. See the history of this page for a list of all contributions to it.