Galois currents and the projective kernel in rational conformal field theory
Mar, 2003Citations per year
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.- field theory: conformal
- field theory: rational
- dimension: 2
- current: Galois
- transformation: modular
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