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

Kökényesi, Zoltán; Sinkovics, Annamaria; Szabo, Richard J.

doi:10.1002/prop.201800069

Cited by 13 publications

(10 citation statements)

References 89 publications

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“…Applying the strategy developed in [36] for the construction of T-duality invariant membrane sigma-models could be helpful in that case, although its precise implementation is not straightforward. In addition, one should then deal with the section condition and understand its geometric origin in the context of weaker algebroid structures, similar to the (pre-)DFT algebroids defined in [36] and formulated in [69] in terms of an AKSZ-type construction.…”

Section: Discussionmentioning

confidence: 99%

Fluxes in exceptional field theory and threebrane sigma-models

Chatzistavrakidis

Jonke

Lüst

et al. 2019

J. High Energ. Phys.

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Starting from a higher Courant bracket associated to exceptional generalized geometry, we provide a systematic derivation of all types of fluxes and their Bianchi identities for four-dimensional compactifications of M-theory. We show that these fluxes may be understood as generalized Wess-Zumino terms in certain topological threebrane sigma-models of AKSZ-type, which relates them to the higher structure of a Lie algebroid up to homotopy. This includes geometric compactifications of M-theory with G-flux and on twisted tori, and also its compactifications with non-geometric Q-and R-fluxes in specific representations of the U-duality group SL(5) in exceptional field theory.

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Section: Discussionmentioning

confidence: 99%

Fluxes in exceptional field theory and threebrane sigma-models

Chatzistavrakidis

Jonke

Lüst

et al. 2019

J. High Energ. Phys.

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“…The precise relation between the two models is clarified in[82], where it is shown that the degenerate limit Π = 0 of the Courant sigma-model of[51] with a particular BV gauge-fixing coincides exactly with the R-twisted membrane sigma-model of[9].…”

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confidence: 99%

Double field theory and membrane sigma-models

Chatzistavrakidis

Jonke

Khoo

et al. 2018

J. High Energ. Phys.

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We investigate geometric aspects of double field theory (DFT) and its formulation as a doubled membrane sigma-model. Starting from the standard Courant algebroid over the phase space of an open membrane, we determine a splitting and a projection to a subbundle that sends the Courant algebroid operations to the corresponding operations in DFT. This describes precisely how the geometric structure of DFT lies in between two Courant algebroids and is reconciled with generalized geometry. We construct the membrane sigma-model that corresponds to DFT, and demonstrate how the standard T-duality orbit of geometric and non-geometric flux backgrounds is captured by its action functional in a unified way. This also clarifies the appearence of noncommutative and nonassociative deformations of geometry in non-geometric closed string theory. Gauge invariance of the DFT membrane sigma-model is compatible with the flux formulation of DFT and its strong constraint, whose geometric origin is explained. Our approach leads to a new generalization of a Courant algebroid, that we call a DFT algebroid and relate to other known generalizations, such as pre-Courant algebroids and symplectic nearly Lie 2-algebroids. We also describe the construction of a gauge-invariant doubled membrane sigma-model that does not require imposing the strong constraint. 1 a.chatzistavrakidis@gmail.com 2 larisa@irb.hr 3 Fech.Scen.Khoo@irb.hr 4 R.J.Szabo@hw.ac.uk 29)19 In this subsection we simplify the notation for the components of the map ρ + by denoting (ρ + ) I J as ρ I J .

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“…As we have verified based on its properties, the DFT structure indeed reduces to the canonical Courant algebroid under the strong constraint. The DFT algebroid is later formulated in the graded symplectic geometry in [30]. When one of the five properties of Courant algebroid, namely the Jacobi identity is violated, one gets a structure called pre-Courant algebroid, described originally in [8].…”

Section: Pos(corfu2018)132mentioning

confidence: 99%

The Algebroid Structure of Double Field Theory

Chatzistavrakidis¹,

Jonke²,

Khoo³

et al. 2019

Proceedings of Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2018)

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By doubling the target space of a canonical Courant algebroid and subsequently projecting down to a specific subbundle, we identify the data of double field theory (DFT) and hence define its algebroid structure. We specify the properties of the DFT algebroid. We show that one of the Courant algebroid properties plays the role of the strong constraint in the context of DFT. The DFT algebroid is a special example when properties of a Courant algebroid are relaxed in a specific and dependent manner. When otherwise, we uncover additional structures.

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

Cited by 13 publications

References 89 publications

Fluxes in exceptional field theory and threebrane sigma-models

Fluxes in exceptional field theory and threebrane sigma-models

Double field theory and membrane sigma-models

The Algebroid Structure of Double Field Theory

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