Transformation Groups

, Volume 21, Issue 2, pp 329–353

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


DOI: 10.1007/s00031-015-9357-2

Cite this article as:
BELKALE, P., GIBNEY, A. & MUKHOPADHYAY, S. Transformation Groups (2016) 21: 329. doi:10.1007/s00031-015-9357-2


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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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of MathematicsUniverisity of North CarolinaChapel HillUSA
  2. 2.Department of MathematicsUniversity of GeorgiaAthensUSA
  3. 3.Department of MathematicsUniversity of MarylandCollege ParkUSA

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