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DOE OSTI · 2420111

Decorated TQFTs and their Hilbert spaces

Jagadale, Mrunmay
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Abstract

We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds. The q-series invariant $\hat{Z}$(q) proposed by Gukov, Pei, Putrov, and Vafa is an example of such an invariant. We describe how to obtain these decorated invariants by cutting and gluing and make a proposal for Hilbert spaces that are assigned to two-dimensional surfaces in the $\hat{Z}$-TQFT.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSChern-Simons theoriesDifferential and algebraic geometryPhysicsQuantum groupsTopological field theories

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Jagadale, Mrunmay. 2023-08-18. Decorated TQFTs and their Hilbert spaces. https://doi.org/10.1007/jhep08(2023)110

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