Double Field Theory on Group Manifolds in a Nutshell

Blumenhagen, Ralph; Bosque, Pascal du; Haßler, Falk; Lüst, Dieter

doi:10.48550/arxiv.1703.07347

Cited by 2 publications

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“…Our covariant derivative has both torsion and curvature. It is motivated by DFT WZW [39,40] whose gauge transformations we review in subsection 2.1 (for a complete review see [52,53]). In the following subsections 2.2 and 2.3, we extend the structure from DFT WZW to EFT.…”

Section: Generalized Diffeomorphisms On Group Manifoldsmentioning

confidence: 99%

Generalized parallelizable spaces from exceptional field theory

Bosque

Haßler

Lüst

2018

J. High Energ. Phys.

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Generalized parallelizable spaces allow a unified treatment of consistent maximally supersymmetric truncations of ten-and eleven-dimensional supergravity in generalized geometry. Known examples are spheres, twisted tori and hyperboloides. They admit a generalized frame field over the coset space M =G/H which reproduces the Lie algebra g of G under the generalized Lie derivative. An open problem is a systematic construction of these spaces and especially their generalized frames fields. We present a technique which applies to dim M =4 for SL(5) exceptional field theory. In this paper the group manifold G is identified with the extended space of the exceptional field theory. Subsequently, the section condition is solved to remove unphysical directions from the extended space. Finally, a SL(5) generalized frame field is constructed from parts of the left-invariant Maurer-Cartan form on G. All these steps impose conditions on G and H.

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Section: Generalized Diffeomorphisms On Group Manifoldsmentioning

confidence: 99%

Generalized parallelizable spaces from exceptional field theory

Bosque

Haßler

Lüst

2018

J. High Energ. Phys.

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“…Poisson-Lie T-dualities including their realization in double field theory see the e.g. [102][103][104][105].…”

Section: Poisson-lie T-dualitymentioning

confidence: 99%

Integrability structures in string theory

Gubarev¹,

Musaev²

2023

Preprint

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This review is a collection of various methods and observations relevant to structures in three-dimensional systems similar to those responsible for integrability of two-dimensional systems. Particular focus is given to Nambu structures and loop variables naturally appearing in membrane dynamics. While reviewing each topic in more details we emphasize connections between them and speculate on possible relations to membrane integrability.

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Double Field Theory on Group Manifolds in a Nutshell

Cited by 2 publications

References 0 publications

Generalized parallelizable spaces from exceptional field theory

Generalized parallelizable spaces from exceptional field theory

Integrability structures in string theory

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