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

Research output: Working paper/Preprint › Preprint

Authors

  • Tobias J. Osborne
  • Deniz E. Stiegemann

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Original languageEnglish
Publication statusE-pub ahead of print - 1 Mar 2019

Abstract

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 \(\mathit{SO}(3)_q\) are studied.

Keywords

    math-ph, hep-th, math.MP, quant-ph

Cite this

Quantum fields for unitary representations of Thompson's groups F and T. / Osborne, Tobias J.; Stiegemann, Deniz E.
2019.

Research output: Working paper/Preprint › Preprint

Osborne, T. J., & Stiegemann, D. E. (2019). Quantum fields for unitary representations of Thompson's groups F and T. Advance online publication. https://doi.org/10.48550/arXiv.1903.00318
Osborne TJ, Stiegemann DE. Quantum fields for unitary representations of Thompson's groups F and T. 2019 Mar 1. Epub 2019 Mar 1. doi: 10.48550/arXiv.1903.00318
Osborne, Tobias J. ; Stiegemann, Deniz E. / Quantum fields for unitary representations of Thompson's groups F and T. 2019.
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