The three-state quantum Potts paramagnet protected by S_3 symmetry

ORAL

Abstract

We report a realization of a three-state Potts paramagnet with gapless edge modes on a triangular lattice that is protected by Z_3 symmetry. We study various microscopic models for the gapless edge and discuss the corresponding conformal field theories and their central charges. These are the Z_3 analogs of free fermion XX model edge term obtained by Levin and Gu for the Z_2 Ising paramagnet. The obtained edge theories do not belong to the integrable set of Fateev-Zamolodchikov models, and neither coincide with the chiral Potts model.

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Presenters

  • Tigran A Sedrakyan

    • University of Massachusetts Amherst
    • University of Massachusetts

Authors

  • Tigran A Sedrakyan

    • University of Massachusetts Amherst
    • University of Massachusetts

  • Hrant Topchyan

    • A. Alikhanyan National Scientific Laboratory, Yerevan Physics Institute, Yerevan, Armenia

  • Mkhitar Mirumyan

    • A. Alikhanyan National Scientific Laboratory, Yerevan Physics Institute, Yerevan, Armenia

  • Shahane A Khachatryan

    • A. Alikhanyan National Scientific Laboratory, Yerevan Physics Institute, Yerevan, Armenia

  • Tigran Hakobyan

    • Yerevan State University