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• W2886440522 abstract "We study the connection between the Eynard-Orantin topological recursion and quantum curves for the family of genus one spectral curves given by the Weierstrass equation. We construct quantizations of the spectral curve that annihilate the perturbative and non-perturbative wave-functions. In particular, for the non-perturbative wave-function, we prove, up to order hbar^5, that the quantum curve satisfies the properties expected from matrix models. As a side result, we obtain an infinite sequence of identities relating A-cycle integrals of elliptic functions and quasi-modular forms." @default.
• W2886440522 created "2018-08-22" @default.
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• W2886440522 date "2018-01-01" @default.
• W2886440522 modified "2023-10-02" @default.
• W2886440522 title "Quantizing Weierstrass" @default.
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• W2886440522 doi "https://doi.org/10.4310/cntp.2018.v12.n2.a2" @default.
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