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On Atiyah-Segal axioms for Witten-type TQFTs

High Energy Physics - Theory 2025-08-27 v1 Algebraic Topology

Abstract

In this paper, we propose a new definition of the trace-map bordism within the Atiyah-Segal framework for Witten-type TQFTs constructed from the topological twist of mass-gapped theories. We demonstrate that these Witten-type TQFTs are unitary under this revised definition and conjecture the self-consistency of the modified bordism category.

Keywords

Cite

@article{arxiv.2508.18615,
  title  = {On Atiyah-Segal axioms for Witten-type TQFTs},
  author = {Wei Gu},
  journal= {arXiv preprint arXiv:2508.18615},
  year   = {2025}
}

Comments

19 pages, 19 figures