Galois Groups in Rational Conformal Field Theory

Details Galois Groups in Rational Conformal Field Theory Galois Groups in Rational Conformal Field Theory

2006-06-09

arxiv.org/abs/hep-th/0606081v3

Int.J.Mod.Phys.B22:343-358,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages. Typos corrected

Scientific paper

10.1142/S0217979208038661

It was established before that fusion rings in a rational conformal field theory (RCFT) can be described as rings of polynomials, with integer coefficients, modulo some relations. We use the Galois group of these relations to obtain a local set of equation for the points of the fusion variety. These equations are sufficient to classify all the RCFT, Galois group by Galois group. It is shown that the Galois group is equivalent to the pseudo RCFT group. We prove that the Galois groups encountered in RCFT are all abelian, implying solvability by radicals of the modular matrix.

Affiliated with

Also associated with

No associations

Rating

Galois Groups in Rational Conformal Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Galois Groups in Rational Conformal Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Galois Groups in Rational Conformal Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-409942