Ruelle, Philippe
[UCL]
Verhoeven, O.
(eng)
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
Bibliographic reference |
Ruelle, Philippe ; Verhoeven, O.. Discrete symmetries of unitary minimal conformal theories. In: Nuclear Physics, Section B, Vol. B535, p. 650-680 (1998) |
Permanent URL |
http://hdl.handle.net/2078/31647 |