PIRSA:26060040 Other Condensed Matter

Series: Quantum Matter

Kong, L. (2026). From the theory of gapless boundaries of 2+1D topological orders to topological Wick rotation. Perimeter Institute. https://pirsa.org/26060040

Kong, Liang. From the theory of gapless boundaries of 2+1D topological orders to topological Wick rotation. Perimeter Institute, Jun. 04, 2026, https://pirsa.org/26060040 

@misc{ pirsa_PIRSA:26060040,
  doi = {},
  url = {https://pirsa.org/26060040},
  author = {Kong, Liang},
  keywords = {Condensed Matter},
  language = {en},
  title = {From the theory of gapless boundaries of 2+1D topological orders to topological Wick rotation},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {jun},
  note = {PIRSA:26060040 see, \url{https://pirsa.org}}
}

Abstract

In this talk, I will review the unified mathematical theory of gapped and gapless boundaries of 2+1D topological orders developed in arXiv:1705.01087. As a consequence of this theory, we will derive a surprising result called “topological Wick rotation”, which was proposed to generalize to higher dimensions as a general principle for certain nice QFTs (arXiv:1905.04924). I will also talk about various  generalizations and applications of topological Wick rotation. In particular, I will show how it includes the usual topological holography and sandwich construction as a special case. 

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