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Galois currents and the projective kernel in Rational Conformal Field Theory

P. Bantay
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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.

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P. Bantay. 2003-03-04. Galois currents and the projective kernel in Rational Conformal Field Theory. https://doi.org/10.1088/1126-6708%2F2003%2F03%2F025

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