Strange Duality for Verlinde Spaces of Exceptional Groups at Level One
نویسنده
چکیده
The moduli stack MX(E8) of principal E8-bundles over a smooth projective curve X carries a natural divisor ∆. We study the pull-back of the divisor ∆ to the moduli stack MX(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(E8). We show that the divisor ∆ 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).
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