Rank-level duality of conformal blocks of GL_n and SL_n

Abstract

We generalise the proof by Marian and Oprea of rank-level duality for non-abelian theta functions to the case of sections of line bundles (conformal blocks) over moduli spaces of parabolic vector bundles over a projective smooth curve. We also describe how it implies the rank-level duality between conformal blocks of Sp(2) and Sp(2n).

29 pages, changes in phrasing

References in corpus (2)

• Strange duality and the Hitchin/WZW connection
• The strange duality conjecture for generic curves