NONVANISHING OF CONFORMAL BLOCKS DIVISORS ON \( {\overline{\mathrm{M}}}_{0,n} \)

Abstract

We introduce and study the problem of finding necessary and sufficient conditions under which a conformal blocks divisor on \( {\overline{\mathrm{M}}}_{0,n} \) is nonzero, solving the problem completely for \( \mathfrak{s}{\mathfrak{l}}_2 \). We give necessary nonvanishing conditions in type A, which are sufficient when theta and critical levels coincide. We also show divisors are subject to additive identities, reflecting a decomposition of the weights and level.

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BELKALE, P., GIBNEY, A. & MUKHOPADHYAY, S. NONVANISHING OF CONFORMAL BLOCKS DIVISORS ON \( {\overline{\mathrm{M}}}_{0,n} \) . Transformation Groups 21, 329–353 (2016). https://doi.org/10.1007/s00031-015-9357-2

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Keywords

  • Vector Bundle
  • Line Bundle
  • Young Diagram
  • Conformal Block
  • Bundle Versus