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Vertex Algebras for Divisors in Toric 3-folds

By Miroslav Rapčak

Conjecturally, one can associate a vertex operator algebra to any divisor inside a Calabi-Yau 3-fold. First, I will discuss a three-parameter family of algebras associated to a general toric divisor inside $\mathds{C}^3$. Secondly, I will sketch a gluing construction that associates an algebra to any toric divisor inside a Calabi-Yau 3-fold. The proposed algebras are expected to act naturally on the equivariant cohomology of the moduli space of Nerkasov's "spiked instantons" associated to such divisors, generalizing the famous AGT correspondence.

Information about the video

  • Date of recording 1/15/19
  • Date of publication 1/28/19
  • Institution IHES
  • Format MP4

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