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Pré-Publication, Document De Travail Année : 2009

Strange duality for Verlinde spaces of exceptional groups at level one

Arzu Boysal
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Résumé

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).
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Dates et versions

hal-00373573 , version 1 (06-04-2009)
hal-00373573 , version 2 (14-09-2009)

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Arzu Boysal, Christian Pauly. Strange duality for Verlinde spaces of exceptional groups at level one. 2009. ⟨hal-00373573v2⟩
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