Sigma models for genuinely non-geometric backgrounds

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OriginalspracheEnglisch
Aufsatznummer182
Seiten (von - bis)1-36
Seitenumfang36
FachzeitschriftJournal of high energy physics
Jahrgang2015
Ausgabenummer11
PublikationsstatusVeröffentlicht - 1 Nov. 2015

Abstract

Abstract: The existence of genuinely non-geometric backgrounds, i.e. ones without geometric dual, is an important question in string theory. In this paper we examine this question from a sigma model perspective. First we construct a particular class of Courant algebroids as protobialgebroids with all types of geometric and non-geometric fluxes. For such structures we apply the mathematical result that any Courant algebroid gives rise to a 3D topological sigma model of the AKSZ type and we discuss the corresponding 2D field theories. It is found that these models are always geometric, even when both 2-form and 2-vector fields are neither vanishing nor inverse of one another. Taking a further step, we suggest an extended class of 3D sigma models, whose world volume is embedded in phase space, which allow for genuinely non-geometric backgrounds. Adopting the doubled formalism such models can be related to double field theory, albeit from a world sheet perspective.

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Sigma models for genuinely non-geometric backgrounds. / Chatzistavrakidis, Athanasios; Jonke, Larisa; Lechtenfeld, Olaf.
in: Journal of high energy physics, Jahrgang 2015, Nr. 11, 182, 01.11.2015, S. 1-36.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Chatzistavrakidis A, Jonke L, Lechtenfeld O. Sigma models for genuinely non-geometric backgrounds. Journal of high energy physics. 2015 Nov 1;2015(11):1-36. 182. doi: 10.1007/JHEP11(2015)182
Chatzistavrakidis, Athanasios ; Jonke, Larisa ; Lechtenfeld, Olaf. / Sigma models for genuinely non-geometric backgrounds. in: Journal of high energy physics. 2015 ; Jahrgang 2015, Nr. 11. S. 1-36.
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N2 - Abstract: The existence of genuinely non-geometric backgrounds, i.e. ones without geometric dual, is an important question in string theory. In this paper we examine this question from a sigma model perspective. First we construct a particular class of Courant algebroids as protobialgebroids with all types of geometric and non-geometric fluxes. For such structures we apply the mathematical result that any Courant algebroid gives rise to a 3D topological sigma model of the AKSZ type and we discuss the corresponding 2D field theories. It is found that these models are always geometric, even when both 2-form and 2-vector fields are neither vanishing nor inverse of one another. Taking a further step, we suggest an extended class of 3D sigma models, whose world volume is embedded in phase space, which allow for genuinely non-geometric backgrounds. Adopting the doubled formalism such models can be related to double field theory, albeit from a world sheet perspective.

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