A derivation of braided $C^*$-tensor categories from gapped ground states satisfying the approximate Haag duality
Abstract
We derive braided $C^*$-tensor categories from gapped ground states on two-dimensional quantum spin systems satisfying some additional condition which we call the approximate Haag duality.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2021
- DOI:
- 10.48550/arXiv.2106.15741
- arXiv:
- arXiv:2106.15741
- Bibcode:
- 2021arXiv210615741O
- Keywords:
-
- Mathematical Physics;
- Condensed Matter - Statistical Mechanics;
- Mathematics - Operator Algebras;
- Quantum Physics