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TMF, 2019, Volume 201, Number 2, Pages 222–231 (Mi tmf9764)  

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

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).

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/tmf9764

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English version:
Theoretical and Mathematical Physics, 2019, 201:2, 1606–1613

Bibliographic databases:

Received: 19.06.2019
Revised: 09.07.2019

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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\by A.~A.~Belavin, B.~A.~Eremin
\paper Partition functions of $\mathcal{N}=(2,2)$ supersymmetric sigma models and special geometry on the~moduli spaces of Calabi--Yau manifolds
\jour TMF
\yr 2019
\vol 201
\issue 2
\pages 222--231
\mathnet{http://mi.mathnet.ru/tmf9764}
\crossref{https://doi.org/10.4213/tmf9764}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2019TMP...201.1606B}
\transl
\jour Theoret. and Math. Phys.
\yr 2019
\vol 201
\issue 2
\pages 1606--1613
\crossref{https://doi.org/10.1134/S0040577919110060}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076373243}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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