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A No-Go Theorem for the Continuum Limit of a Periodic Quantum Spin Chain

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Abstract

We show that the Hilbert space formed from a block spin renormalization construction of a cyclic quantum spin chain (based on the Temperley–Lieb algebra) does not support a chiral conformal field theory whose Hamiltonian generates translation on the circle as a continuous limit of the rotations on the lattice.

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Authors and Affiliations

  1. Vanderbilt University, Nashville, TN, USA

    Vaughan F. R. Jones

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  1. Vaughan F. R. Jones
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Correspondence to Vaughan F. R. Jones.

Additional information

Communicated by D. Buchholz, K. Fredenhagen, Y. Kawahigashi

V. J. is supported by the NSF under Grant No. DMS-0301173 and Grant DP140100732, symmetries of subfactors.

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Jones, V.F.R. A No-Go Theorem for the Continuum Limit of a Periodic Quantum Spin Chain. Commun. Math. Phys. 357, 295–317 (2018). https://doi.org/10.1007/s00220-017-2945-3

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  • DOI: https://doi.org/10.1007/s00220-017-2945-3

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