Corpus ID: 119155148

Quantum fields for unitary representations of Thompson's groups $F$ and $T$

@article{Osborne2019QuantumFF,
  title={Quantum fields for unitary representations of Thompson's groups \$F\$ and \$T\$},
  author={T. Osborne and Deniz E. Stiegemann},
  journal={arXiv: Mathematical Physics},
  year={2019}
}

• T. Osborne, Deniz E. Stiegemann
• Published 2019
• Physics, Mathematics
• arXiv: Mathematical Physics

We describe how to define observables analogous to quantum fields for the semicontinuous limit recently introduced by Jones in the study of unitary representations of Thompson's groups $F$ and $T$. We find that, in terms of correlation functions of these fields, one can deduce quantities resembling the conformal data, i.e., primary fields, scaling dimensions, and the operator product expansion. Examples coming from quantum spin systems and anyon chains built on the trivalent category $\mathit… Expand

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