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arXiv · 1605.06184

Conformal Blocks in type C at level one

Natalie Hobson
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Abstract

We investigate the behavior of vector bundles of conformal blocks for $sp_{2\ell}$ at level one on $\bar{M}_{0,n}$. We show their first Chern classes are equivalent to conformal blocks divisors for $sl_2$ at level $\ell$ if and only if the corresponding vector bundles have rank one or zero, and all become equal when the Lie algebra $\ell$ is large enough. As a consequence of these results, we conclude the cone generated by these divisors is polyhedral.

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Natalie Hobson. 2016-05-20. Conformal Blocks in type C at level one. https://arxiv.org/abs/1605.06184

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