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International Mathematics Research Notices Advance Access published online on September 17, 2009
International Mathematics Research Notices, doi:10.1093/imrn/rnp151
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Strange Duality for Verlinde Spaces of Exceptional Groups at Level One

Arzu Boysal1 and Christian Pauly2

1 Matematik Bölümü, Bogaziçi Üniversitesi, TR-34342, Bebek, Istanbul, Türkiye (Turkey)
2 Département de Mathématiques, Université de Montpellier II – Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France

Correspondence: Correspondence to be sent to: pauly{at}math.univ-montp2.fr

The moduli stack Formula of principal E8-bundles over a smooth projective curve X carries a natural divisor {Delta}. We study the pullback of the divisor {Delta} to the moduli stack Formula , where P is a semisimple and simply connected group such that its Lie algebra Lie (P) is a maximal conformal subalgebra of Lie (E8). 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), E6), and (SL (2), E7).

Communicated by Prof. Dragos Oprea


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