nLab Kramers-Wannier duality

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

Kramers-Wannier duality is a duality in physics of the Ising model 2d CFT.

References

Discussion by defect QFT in the context of the FRS-formalism with defects:

Here in FRS-formalism a 2d CFT is formalized as a boundary field theory to a 3d TQFT based on the Turaev-Viro model, similar to the CS-WZW correspondence.

Another discussion involving just these keywords is in

Realization in lattice field theory:

and simulation on a quantum computer:

  • Sutapa Samanta, Derek S. Wang, Armin Rahmani, Aditi Mitra, Isolated Majorana mode in a quantum computer from a duality twist [arXiv:2308.02387]

Last revised on August 7, 2023 at 06:25:47. See the history of this page for a list of all contributions to it.