Strange duality for Verlinde spaces of exceptional groups at level one

Autor:	Boysal, Arzu, Pauly, Christian
Rok vydání:	2009
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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). Comment: 18 pages, revised version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0904.0912 Zobrazit plný text záznamu View this record from Arxiv