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In the first part of the paper we propose a different viewpoint on the theory of higher Airy structures (or Airy ideals) which may shed light on its origin.
V. Bouchard, P. Cisomak, L. Hadasz, K. Osuga, B. Ruba, P. Sułkowski · 1907
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Introduction to commutative algebra
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Conformal Invariance, Supersymmetry and String Theory
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Vertex algebras and vertex Poisson algebras
H. Li · 2004
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Matrix eigenvalue model: Feynman graph technique for all genera
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Airy structures and symplectic geometry of topological recursion
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Cosets of affine vertex algebras inside larger structures
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A generalized topological recursion for arbitrary ramification
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Twisted modules over lattice vertex algebras
B. Bakalov, V. Kac
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Category 𝒪 \mathcal{O} for vertex algebras of 𝔬 𝔰 𝔭 1 | 2 n \mathfrak{osp}_{1|2n}
T. Creutzig, N. Genra and A. Linshaw,
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Invertibility of submatrices of the Pascal matrix and Birkhoff interpolation
S. Kersey
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Higher Airy structures, W W -algebras and topological recursion
G. Borot, V. Bouchard, N. Chidambaram, T. Creutzig, and D. Noshchenko · 2021
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Whittaker vectors for 𝒲 \mathcal{W} -algebras from topological recursion
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Trialities of orthosymplectic W W -algebras
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