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Diagrammatic State Sums for 2D Pin-Minus TQFTs

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arxiv 1811.12654 v2 pith:LIEILXMK submitted 2018-11-30 math.QA cond-mat.str-elhep-th

Alex Turzillo This is my paper · ORCID
classification math.QAcond-mat.str-elhep-th
keywords constructionpin-minusstatetqftsalgebraicalgebrasarf-brown-kervairebarrett
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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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  1. GSO projections via SPT phases

    hep-th 2019-08 conditional novelty 7.0 of 10

    GSO projections in string theory are classified by fermionic SPT phases, predicting unoriented type 0 strings labeled by n mod 8 and explaining type II and type I choices.

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