Galois currents and the projective kernel in Rational Conformal Field Theory

Details Galois currents and the projective kernel in Rational Conformal Field Theory Galois currents and the projective kernel in Rational Conformal Field Theory

2003-03-04

arxiv.org/abs/hep-th/0303027v1

JHEP 0303 (2003) 025

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1126-6708/2003/03/025

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.

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