Discrete symmetries of unitary minimal conformal theories

Ruelle, Philippe;Verhoeven, O.
(1998) Nuclear Physics, Section B — Vol. B535, p. 650-680 (1998)

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(en) We classify the possible discrete (finite) symmetries of two--dimensional critical models described by unitary minimal conformally invariant theories. We find that all but six models have the group Z_2 as maximal symmetry. Among the six exceptional theories, four have no symmetry at all, while the other two are the familiar critical and tricritical 3--Potts models, which both have an S_3 symmetry. These symmetries are the expected ones, and coincide with the automorphism groups of the Dynkin diagrams of simply--laced simple Lie algebras ADE. We note that extended chiral algebras, when present, are almost never preserved in the frustrated sectors. Comment: 30 pages, no figure, LaTeX 2e
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Ruelle, P., & Verhoeven, O. (1998). Discrete symmetries of unitary minimal conformal theories. Nuclear Physics, Section B, B535, 650-680. https://doi.org/10.1016/S0550-3213(98)00639-7 (Original work published 1998)