Abstract
The discrete symmetries of conformal theories are related to the various twisted boundary comditions that may be imposed in a toroidal geometry. The corresponding partition functions are only invariant under a s[ecific subgroup of the modular group. This is illustrated on the Ising, Potts and RSOS models. Conversely, some of the discrete symmetries should be recovered from the various submodular invariants that may be constructed as bilinears in the Virasoro characters.
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