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On the spectrum of the local $\mathbb{P}^2$ mirror curve

Mathematical Physics 2020-12-02 v1 High Energy Physics - Theory math.MP Quantum Algebra Spectral Theory

Abstract

We address the spectral problem of the normal quantum mechanical operator associated to the quantized mirror curve of the toric (almost) del Pezzo Calabi--Yau threefold called local P2\mathbb{P}^2 in the case of complex values of Planck's constant.

Keywords

Cite

@article{arxiv.1904.12315,
  title  = {On the spectrum of the local $\mathbb{P}^2$ mirror curve},
  author = {Rinat Kashaev and Sergey Sergeev},
  journal= {arXiv preprint arXiv:1904.12315},
  year   = {2020}
}

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13 pages