Double Field Theory for the A/B-Models and Topological S-Duality in Generalized Geometry

Zoltán Kökényesi; Annamaria Sinkovics; Richard Joseph Szabo

doi:10.1002/prop.201800069

Double Field Theory for the A/B-Models and Topological S-Duality in Generalized Geometry

Zoltán Kökényesi^*, Annamaria Sinkovics, Richard Joseph Szabo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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Abstract

We study AKSZ-type BV constructions for the topological A- and B-models within a double field theory formulation that incorporates backgrounds with geometric and non-geometric fluxes. We relate them to a Courant sigma-model, on an open membrane, corresponding to a generalized complex structure, which reduces to the A- or B-models on the boundary. We introduce S-duality at the level of the membrane sigma-model based on the generalized complex structure, which exchanges the related AKSZ field theories, and interpret it as topological S-duality of the A- and B-models. Our approach leads to new classes of Courant algebroids associated to (generalized) complex geometry.

Original language	English
Article number	1800069
Journal	Fortschritte der Physik
Volume	66
Issue number	11-12
Early online date	9 Oct 2018
DOIs	https://doi.org/10.1002/prop.201800069
Publication status	Published - Nov 2018

Keywords

generalized geometry
topological string theory

ASJC Scopus subject areas

General Physics and Astronomy

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10.1002/prop.201800069

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This is the peer reviewed version of the following article: Z. Kökényesi, A. Sinkovics, R. J. Szabo, Fortschr. Phys. 2018, 1800069, which has been published in final form at https://doi.org/10.1002/prop.201800069. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
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abstract = "We study AKSZ-type BV constructions for the topological A- and B-models within a double field theory formulation that incorporates backgrounds with geometric and non-geometric fluxes. We relate them to a Courant sigma-model, on an open membrane, corresponding to a generalized complex structure, which reduces to the A- or B-models on the boundary. We introduce S-duality at the level of the membrane sigma-model based on the generalized complex structure, which exchanges the related AKSZ field theories, and interpret it as topological S-duality of the A- and B-models. Our approach leads to new classes of Courant algebroids associated to (generalized) complex geometry.",

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PY - 2018/11

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AB - We study AKSZ-type BV constructions for the topological A- and B-models within a double field theory formulation that incorporates backgrounds with geometric and non-geometric fluxes. We relate them to a Courant sigma-model, on an open membrane, corresponding to a generalized complex structure, which reduces to the A- or B-models on the boundary. We introduce S-duality at the level of the membrane sigma-model based on the generalized complex structure, which exchanges the related AKSZ field theories, and interpret it as topological S-duality of the A- and B-models. Our approach leads to new classes of Courant algebroids associated to (generalized) complex geometry.

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Double Field Theory for the A/B-Models and Topological S-Duality in Generalized Geometry

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