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:
Original Paper
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
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author Kashaev, Rinat
Sergeev, Sergey
author_facet Kashaev, Rinat
Sergeev, Sergey
author_sort Kashaev, Rinat
collection PubMed
description 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.
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spelling pubmed-75909422020-10-29 On the Spectrum of the Local [Formula: see text] Mirror Curve Kashaev, Rinat Sergeev, Sergey Ann Henri Poincare Original Paper 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. Springer International Publishing 2020-09-29 2020 /pmc/articles/PMC7590942/ /pubmed/33132750 http://dx.doi.org/10.1007/s00023-020-00960-y Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Original Paper
Kashaev, Rinat
Sergeev, Sergey
On the Spectrum of the Local [Formula: see text] Mirror Curve
title On the Spectrum of the Local [Formula: see text] Mirror Curve
title_full On the Spectrum of the Local [Formula: see text] Mirror Curve
title_fullStr On the Spectrum of the Local [Formula: see text] Mirror Curve
title_full_unstemmed On the Spectrum of the Local [Formula: see text] Mirror Curve
title_short On the Spectrum of the Local [Formula: see text] Mirror Curve
title_sort on the spectrum of the local [formula: see text] mirror curve
topic Original Paper
url 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
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