Diagrammatic State Sums for 2D Pin-Minus TQFTs
Quantum Algebra
2020-03-05 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
The two dimensional state sum models of Barrett and Tavares are extended to unoriented spacetimes. The input to the construction is an algebraic structure dubbed half twist algebras, a class of examples of which is real separable superalgebras with a continuous parameter. The construction generates pin-minus TQFTs, including the root invertible theory with partition function the Arf-Brown-Kervaire invariant. Decomposability, the stacking law, and Morita invariance of the construction are discussed.
Keywords
Cite
@article{arxiv.1811.12654,
title = {Diagrammatic State Sums for 2D Pin-Minus TQFTs},
author = {Alex Turzillo},
journal= {arXiv preprint arXiv:1811.12654},
year = {2020}
}