nLab topological physics -- contents

Topological Physics – Phenomena in physics controlled by the topology (often: the homotopy theory) of the physical system.

General theory:

• (extended) topological field theory

• Chern-Simons theory

In solid state physics:

• topological state of matter

  • quantum material

  • gapped Hamiltonian

  • topological order, symmetry protected trivial order

• topological insulator

  • quantum Hall effect, quantum spin Hall effect

    anyons, braid group statistics

In metamaterials:

• topological photonics (light waves)

• topological phononics (sound waves?)

For quantum computation:

• topological quantum computation

In quantum hadrodynamics:

• Skyrmion

In quantum chromodynamics:

• instanton