Implications of an arithmetical symmetry of the commutant for modular invariants

Details Implications of an arithmetical symmetry of the commutant for modular invariants Implications of an arithmetical symmetry of the commutant for modular invariants

1992-12-08

arxiv.org/abs/hep-th/9212048v1

Nucl.Phys.B402:693-708,1993

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, plain TeX, DIAS-STP-92-26

Scientific paper

10.1016/0550-3213(93)90125-9

We point out the existence of an arithmetical symmetry for the commutant of the modular matrices S and T. This symmetry holds for all affine simple Lie algebras at all levels and implies the equality of certain coefficients in any modular invariant. Particularizing to SU(3)_k, we classify the modular invariant partition functions when k+3 is an integer coprime with 6 and when it is a power of either 2 or 3. Our results imply that no detailed knowledge of the commutant is needed to undertake a classification of all modular invariants.

Affiliated with

Also associated with

No associations

Rating

Implications of an arithmetical symmetry of the commutant for modular invariants 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 Implications of an arithmetical symmetry of the commutant for modular invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Implications of an arithmetical symmetry of the commutant for modular invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-205646