By Shi Chen and Yuya Tanizaki

Solitonic symmetry is believed to follow the homotopy-group classification of topological solitons. Here, we point out a more sophisticated algebraic structure when solitons of different dimensions coexist in the spectrum. We uncover this phenomenon in a concrete quantum field theory, the *4*d *\mathbb{C}P^1* model. This model has two kinds of... Show more

October 29, 2022

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Solitonic symmetry beyond homotopy: invertibility from bordism and non-invertibility from TQFT

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