Discrete symmetries of unitary minimal conformal theories

Details Discrete symmetries of unitary minimal conformal theories Discrete symmetries of unitary minimal conformal theories

1998-03-16

arxiv.org/abs/hep-th/9803129v1

Nucl.Phys. B535 (1998) 650-680

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, no figure, LaTeX 2e

Scientific paper

10.1016/S0550-3213(98)00639-7

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.

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