Galois currents and the projective kernel in Rational Conformal Field Theory

@article{Bantay2003GaloisCA,
  title={Galois currents and the projective kernel in Rational Conformal Field Theory},
  author={Peter Bantay},
  journal={arXiv: High Energy Physics - Theory},
  year={2003}
}
  • P. Bantay
  • Published 4 March 2003
  • Mathematics
  • arXiv: High Energy Physics - Theory
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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