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arXiv · 1811.12654

Diagrammatic State Sums for 2D Pin-Minus TQFTs

Alex Turzillo
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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.

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BibTeXRIS

Alex Turzillo. 2020-03-04. Diagrammatic State Sums for 2D Pin-Minus TQFTs. https://doi.org/10.1007/jhep03(2020)019

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