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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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

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title = "On the Spectrum of the Local P2 Mirror Curve",

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AU - Sergeev, Sergey

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AB - 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.

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On the Spectrum of the Local P² Mirror Curve

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