• Corpus ID: 233204298

Whittaker vectors for $\mathcal{W}$-algebras from topological recursion

@inproceedings{Borot2021WhittakerVF,
  title={Whittaker vectors for \$\mathcal\{W\}\$-algebras from topological recursion},
  author={Gaetan Borot and Vincent Bouchard and Nitin Kumar Chidambaram and Thomas Creutzig},
  year={2021}
}
We identify Whittaker vectors for $\mathcal{W}_k(\mathfrak{g})$-modules with partition functions of higher Airy structures. This implies that Gaiotto vectors, describing the fundamental class in the equivariant cohomology of a suitable compactification of the moduli space of $G$-bundles over $\mathbb{P}^2$ for $G$ a complex simple Lie group, can be computed by a non-commutative version of the Chekhov-Eynard-Orantin topological recursion. We formulate the connection to higher Airy structures for… 

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