The level 2 and 3 modular invariants of SU(n)
High Energy Physics - Theory
2014-11-18 v1
Abstract
In this paper we explicitly classify all modular invariant partition functions for su(n) at level 2 and 3. Previously, these were known only for level 1. The level 2 exceptionals exist at n=10, 16, and 28; the level 3 exceptionals exist at n=5, 9, and 21. One of these is new, but the others were all anticipated by the "rank-level duality" relating su(n) level k and su(k) level n. The main recent result which this paper rests on is the classification of "ADE_7-type invariants".
Keywords
Cite
@article{arxiv.hep-th/9511040,
title = {The level 2 and 3 modular invariants of SU(n)},
author = {Terry Gannon},
journal= {arXiv preprint arXiv:hep-th/9511040},
year = {2014}
}
Comments
plain tex, 8 pages