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Comments on Summing over Bordisms in TQFT

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arxiv 2201.00903 v2 pith:5NKESGUV submitted 2022-01-03 hep-th

classification hep-th
keywords bordismsquantumtqftamplitudebabyboundariescommentsconsidered
verification ladder T0 review T1 audit T2 compute T3 formal

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Recent works in quantum gravity, motivated by the factorization problem and baby universes, have considered sums over bordisms with fixed boundaries in topological quantum field theory (TQFT). We discuss this construction and observe a curious splitting formula for the total amplitude.

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Cited by 1 Pith paper

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  1. On Atiyah-Segal axioms for Witten-type TQFTs

    hep-th 2025-08 conditional novelty 6.0 of 10

    A modified trace map with a background-particle insertion is proposed, yielding a unitary Atiyah-Segal formulation for Witten-type TQFTs; the mechanism is shown for CP^n.

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