• Corpus ID: 222177514

Higher Airy structures and topological recursion for singular spectral curves

@article{Borot2020HigherAS,
  title={Higher Airy structures and topological recursion for singular spectral curves},
  author={Gaetan Borot and Reinier Kramer and Yannik Schuler},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
We give elements towards the classification of quantum Airy structures based on the $W(\mathfrak{gl}_r)$-algebras at self-dual level based on twisted modules of the Heisenberg VOA of $\mathfrak{gl}_r$ for twists by arbitrary elements of the Weyl group $\mathfrak{S}_{r}$. In particular, we construct a large class of such quantum Airy structures. We show that the system of linear ODEs forming the quantum Airy structure and determining uniquely its partition function is equivalent to a topological… 

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