Galois currents and the projective kernel in rational conformal field theory | Zendy

P. Bántay | Zendy

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Galois currents and the projective kernel in rational conformal field theory

Author(s) -

P. Bántay

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/03/025

Subject(s) - mathematics , embedding problem , fundamental theorem of galois theory , differential galois theory , galois theory , galois module , pure mathematics , galois group , galois extension , conformal field theory , algebra over a field , normal basis , discrete mathematics , conformal map , mathematical analysis

The notion of Galois currents in Rational Conformal Field Theory isintroduced and illustrated on simple examples. This leads to a naturalpartition of all theories into two classes, depending on the existence of anon-trivial Galois current. As an application, the projective kernel of a RCFT,i.e. the set of all modular transformations represented by scalar multiples ofthe identity, is described in terms of a small set of easily computableinvariants

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