Strange duality for Verlinde spaces of exceptional groups at level one

Details Strange duality for Verlinde spaces of exceptional groups at level one Strange duality for Verlinde spaces of exceptional groups at level one

2009-04-06

arxiv.org/abs/0904.0912v2

Mathematics

Algebraic Geometry

18 pages, revised version

Scientific paper

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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