Galois currents and the projective kernel in Rational Conformal Field Theory
arXiv:hep-th/0303027 · doi:10.1088/1126-6708/2003/03/025
Abstract
The notion of Galois currents in Rational Conformal Field Theory is introduced and illustrated on simple examples. This leads to a natural partition of all theories into two classes, depending on the existence of a non-trivial Galois current. As an application, the projective kernel of a RCFT, i.e. the set of all modular transformations represented by scalar multiples of the identity, is described in terms of a small set of easily computable invariants.
References in corpus (4)
- The kernel of the modular representation and the Galois action in RCFT
- On the Classification of Modular Fusion Algebras
- Modular Invariance and Uniqueness of Conformal Characters
- Comments on the Links between su(3) Modular Invariants, Simple Factors in the Jacobian of Fermat Curves, and Rational Triangular Billiards