The Classification of SU(m)_{k} Automorphism Invariants
| dc.creator | Gannon, Terry | |
| dc.date | 1994-08-22 | |
| dc.date.accessioned | 2026-07-07T04:20:26Z | |
| dc.date.available | 2026-07-07T04:20:26Z | |
| dc.description | In this paper we find all permutations of the level k weights of the affine algebra A_r^{(1)} which commute with both its S and T modular matrices. We find that all of these are simple current automorphisms and their conjugations. Previously, the A_{r,k}^{(1)} automorphism invariants were known only for r=1,2 \forall k, and k=1 \forall r. This is a major step toward the full classification of all A_{r,k}^{(1)} modular invariants; the simplicity of this proof strongly suggests that the full classification should be accomplishable. In an appendix we collect some new results concerning the A_{r,k}^{(1)} fusion ring. | |
| dc.description | 8 pp. (plain tex) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9408119 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9408119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53947 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Classification of SU(m)_{k} Automorphism Invariants | |
| dc.type | text |