Details
| Original language | English |
|---|---|
| Article number | 182 |
| Pages (from-to) | 1-36 |
| Number of pages | 36 |
| Journal | Journal of high energy physics |
| Volume | 2015 |
| Issue number | 11 |
| Publication status | Published - 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.
Keywords
- Differential and Algebraic Geometry, Flux compactifications, Sigma Models, String Duality
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2015, No. 11, 182, 01.11.2015, p. 1-36.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Sigma models for genuinely non-geometric backgrounds
AU - Chatzistavrakidis, Athanasios
AU - Jonke, Larisa
AU - Lechtenfeld, Olaf
N1 - Publisher Copyright: © 2015, The Author(s). Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/11/1
Y1 - 2015/11/1
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.
AB - 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.
KW - Differential and Algebraic Geometry
KW - Flux compactifications
KW - Sigma Models
KW - String Duality
UR - http://www.scopus.com/inward/record.url?scp=84948772783&partnerID=8YFLogxK
U2 - 10.1007/JHEP11(2015)182
DO - 10.1007/JHEP11(2015)182
M3 - Article
AN - SCOPUS:84948772783
VL - 2015
SP - 1
EP - 36
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 11
M1 - 182
ER -