PIRSA:26050028 Conference Quantum Information Condensed Matter

DOI10.48660/26050028

Conference/School: Physics of Quantum Information II

(2026). Probing 2D invertible phases with replica permutations. Perimeter Institute. https://pirsa.org/26050028

Probing 2D invertible phases with replica permutations. Perimeter Institute, May. 28, 2026, https://pirsa.org/26050028 

@misc{ pirsa_PIRSA:26050028,
  doi = {10.48660/26050028},
  url = {https://pirsa.org/26050028},
  author = {},
  keywords = {Quantum Information, Condensed Matter},
  language = {en},
  title = {Probing 2D invertible phases with replica permutations},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {may},
  note = {PIRSA:26050028 see, \url{https://pirsa.org}}
}

Abstract

I will discuss a class of probes of 2D invertible phases of matter based on replica permutation operators. These probes are defined by introducing multiple replicas of a many-body system and evaluating expectation values of permutation operators acting in different spatial regions. A notable example is the Rényi modular commutator, which is conjectured to detect the chiral central charge. I will also discuss variants of these probes for symmetry-protected topological phases.

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