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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 2, Pages 222–231
DOI: https://doi.org/10.4213/tmf9764 (Mi tmf9764) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Partition functions of $\mathcal{N}=(2,2)$ supersymmetric sigma models and special geometry on the moduli spaces of Calabi–Yau manifolds

A. A. Belavinab, B. A. Ereminac

a Landau Institute for Theoretical Physics of Russian Academy of Sciences, Chernogolovka, Moscow Oblast, Russia
b Kharkevich Institute for Information Transmission Problems, Moscow, Russia
c Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf9764
Abstract: We study a new example of a mirror relation between the exact partition functions of $\mathcal{N}{=}(2,2)$ supersymmetric gauged linear sigma models on the sphere $S^2$ and the special Kähler geometry on the moduli spaces of Calabi–Yau manifolds. Using exact calculations, we show this relation indeed holds for Calabi–Yau manifolds of the Berglund–Hubsch type with two moduli.
Keywords: superstring theory, compactification, moduli space of Calabi–Yau manifolds, special geometry.
Funding agency Grant number
Russian Science Foundation 18-12-00439
This research was performed at the Landau Institute for Theoretical Physics and was supported by a grant from the Russian Science Foundation (Project No. 18-12-00439).
Received: 19.06.2019
Revised: 09.07.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 2, Pages 1606–1613
DOI: https://doi.org/10.1134/S0040577919110060
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Belavin, B. A. Eremin, “Partition functions of $\mathcal{N}=(2,2)$ supersymmetric sigma models and special geometry on the moduli spaces of Calabi–Yau manifolds”, TMF, 201:2 (2019), 222–231; Theoret. and Math. Phys., 201:2 (2019), 1606–1613
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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