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arXiv 2003-03-04 DOI 10.1088/1126-6708/2003/03/025 0 views

Galois currents and the projective kernel in Rational Conformal Field Theory

Bantay, P.

Original · EN

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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