PIRSA:24030083 Conference Condensed Matter

DOI10.48660/24030083

Conference/School: Higher Categorical Tools for Quantum Phases of Matter

Mulevičius, V. (2024). Douglas-Reutter 4d TQFT as a generalised orbifold. Perimeter Institute. https://pirsa.org/24030083

Mulevičius, Vincentas. Douglas-Reutter 4d TQFT as a generalised orbifold. Perimeter Institute, Mar. 19, 2024, https://pirsa.org/24030083 

@misc{ pirsa_PIRSA:24030083,
  doi = {10.48660/24030083},
  url = {https://pirsa.org/24030083},
  author = {Mulevi{\v{c}}ius, Vincentas},
  keywords = {Condensed Matter},
  language = {en},
  title = {Douglas-Reutter 4d TQFT as a generalised orbifold},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {mar},
  note = {PIRSA:24030083 see, \url{https://pirsa.org}}
}

Abstract

The state-sum invariants of 4d manifolds obtained from spherical fusion 2-categories due to Douglas-Reutter offer an exciting entrypoint to the study of 4d TQFTs. In this talk we will argue that these invariants arise from a TQFT, obtained by filling the trivial 4d TQFT with a defect foam. Such construction is known as a generalised orbifold, the Turaev-Viro-Barrett-Westbury (i.e. 3d state-sum) models are also known to arise in this way from the defects in the trivial 3d TQFT (a result by Carqueville-Runkel-Schaumann). Advantages of this point of view offer e.g. realisations of state-spaces, examples of domain walls and commuting-projector realisations of (3+1)-dimensional topological phases. Based on a joint project with Nils Carqueville and Lukas Müller.

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