Strange duality for Verlinde spaces of exceptional groups at level one
Algebraic Geometry
2009-09-14 v2
Abstract
The moduli stack M_X(E_8) of principal E_8-bundles over a smooth projective curve X carries a natural divisor Delta. We study the pull-back of the divisor Delta to the moduli stack M_X(P), where P is a semi-simple and simply connected group such that its Lie algebra Lie(P) is a maximal conformal subalgebra of Lie(E_8). We show that the divisor Delta induces "Strange Duality"-type isomorphisms between the Verlinde spaces at level one of the following pairs of groups (SL(5), SL(5)), (Spin(8), Spin(8)), (SL(3), E_6) and (SL(2), E_7).
Keywords
Cite
@article{arxiv.0904.0912,
title = {Strange duality for Verlinde spaces of exceptional groups at level one},
author = {Arzu Boysal and Christian Pauly},
journal= {arXiv preprint arXiv:0904.0912},
year = {2009}
}
Comments
18 pages, revised version