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.
–
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