On the Spectrum of the Local    Mirror Curve.

Kashaev R; Sergeev S

doi:10.1007/s00023-020-00960-y

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Journal article

On the Spectrum of the Local Mirror Curve.

Kashaev R Section de Mathématiques, Université de Genève, 2-4 rue du Lièvre, Case Postale 64, 1211 Genève 4, Switzerland.
Sergeev S Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200 Australia.

2020-11-02

Published in:

Annales Henri Poincare. - 2020

English We address the spectral problem of the formally normal quantum mechanical operator associated with the quantised mirror curve of the toric (almost) del Pezzo Calabi-Yau threefold called local in the case of complex values of Planck's constant. We show that the problem can be approached in terms of the Bethe ansatz-type highly transcendental equations.

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