Quantum Kostka and the rank one problem for 𝔰𝔩2m
Keyword(s):
Rank One
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Abstract We give necessary and sufficient conditions to specify vector bundles of conformal blocks for 𝔰𝔩2m with rectangular weights which have ranks 0, 1, and larger than 1. We show that the first Chern classes of such rank one bundles determine a finitely generated subcone of the nef cone.
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