The level 2 and 3 modular invariants for the orthogonal algebras
| dc.creator | Gannon, Terry | |
| dc.date | 1998-09-04 | |
| dc.date.accessioned | 2026-07-07T05:25:53Z | |
| dc.date.available | 2026-07-07T05:25:53Z | |
| dc.description | This paper finds for all orthogonal algebras (i.e. the B and D series) all modular invariant 1-loop partition functions at levels 1,2,3. Previously, only those at level 1 were classified. An extraordinary number of exceptionals appear at level 2 -- indeed this is the primary motivation for this paper -- and we find infinitely many new ones there. The only level 3 exceptionals occur for $B_2$ and $D_7$, and the latter appear to be new. The $B_{2,3}$ and $D_{7,3}$ exceptionals are cousins of the "$E_6$" and "$E_8$" exceptionals in the A-D-E classification for affine $A_1$, while the level 2 exceptionals are related to the lattice invariants of affine u(1). | |
| dc.description | 18 pages, plain tex | |
| dc.identifier | https://arxiv.org/abs/math/9809020 | |
| dc.identifier | http://arxiv.org/abs/math/9809020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77353 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The level 2 and 3 modular invariants for the orthogonal algebras | |
| dc.type | text |