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On the Spectrum of the Local [Formula: see text] Mirror Curve

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 [Formula: see text] in the case of complex values of Planck’s constant. We show that the problem can be appr...

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Detalles Bibliográficos
Autores principales: Kashaev, Rinat, Sergeev, Sergey
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7590942/
https://www.ncbi.nlm.nih.gov/pubmed/33132750
http://dx.doi.org/10.1007/s00023-020-00960-y
Descripción
Sumario: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 [Formula: see text] 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.