セミナー 2023年

seminar2023

[QCD theory Seminar] Solitonic symmetry beyond homotopy groups

  • SPEAKER Shi Chen, Univ. of Tokyo
  • PLACE Online(Zoom)
Solitonic symmetry is believed to be classified by homotopy groups, but I will point out a more sophisticated algebraic structure. I shall focus on a concrete QFT, the 4d CP^1 model, and demonstrate that π_3 (CP^1) = Z does not lead to a U(1) 0-form solitonic symmetry. Actually, the invertible 0-form solitonic symmetry is a Z_2 which comes from Ω^spin_3 (CP^1) = Z_2. The complete 0-form solitonic symmetry is a non-invertible symmetry generated by 3d spin TQFTs.


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