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Subfactors and 1+1-dimensional TQFTs

Vijay Kodiyalam·Vishwambhar Pati·V. S. Sunder
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Abstract

We construct a certain `cobordism category' ${\cal D}$ whose morphisms are suitably decorated cobordism classes between similarly decorated closed oriented 1-manifolds, and show that there is essentially a bijection between (1+1-dimensional) unitary topological quantum field theories (TQFTs) defined on ${\cal D}$, on the one hand, and Jones' subfactor planar algebras, on the other.

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Vijay Kodiyalam, Vishwambhar Pati, V. S. Sunder. 2005-07-04. Subfactors and 1+1-dimensional TQFTs. https://doi.org/10.1142/s0129167x07003923

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