On the Spectrum of the Local P2 Mirror Curve

Rinat Kashaev; Sergey Sergeev

doi:10.1007/s00023-020-00960-y

On the Spectrum of the Local P² Mirror Curve

Rinat Kashaev, Sergey Sergeev

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Abstract

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 P² 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.

Original language	English
Pages (from-to)	3479-3497
Number of pages	19
Journal	Annales Henri Poincare
Volume	21
Issue number	11
DOIs	https://doi.org/10.1007/s00023-020-00960-y
Publication status	Published - 1 Nov 2020
Externally published	Yes

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On the Spectrum of the Local P² Mirror Curve

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