T-duality transformations for the NS5-brane along angular directions

Plauschinn, Erik; Camell, Valentí Vall

doi:10.1007/jhep03(2018)060

Cited by 4 publications

(3 citation statements)

References 48 publications

(101 reference statements)

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“…We also mention that T-duality along angular isometries does not necessarily lead to singular dual geometries, which has been exemplified in [56] for the NS5-brane solution.…”

Section: Remarkmentioning

confidence: 83%

“…Let us start with a duality transformation along the direction k = ∂ ζ 1 + ∂ ζ 2 , which corresponds to the Hopf-fibre of the three-sphere (see for instance [60,56]). Note that k is globally well-defined and nowhere vanishing.…”

Section: Global Properties Of H and V αmentioning

confidence: 99%

“…The parameter ρ only arises when performing a collective T-duality transformation and corresponds to a gauge choice for ι k [α v β] in D αβ shown in (3.52). On the dual side it cannot be removed by diffeomorphisms, and it is interpreted as parametrising a β-transformations in the context of T-duality for curved backgrounds [56].…”

Section: Global Properties Of H and V αmentioning

confidence: 99%

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Non-geometric backgrounds in string theory

Plauschinn

2018

Preprint

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This review provides an introduction to non-geometric backgrounds in string theory. Starting from a discussion of T-duality, geometric and non-geometric torus-fibrations are reviewed, generalised geometry and its relation to nongeometric backgrounds are explained and compactifications of string theory with geometric and non-geometric fluxes are discussed. Furthermore covered are doubled geometry as well as non-commutative and non-associative structures in the context of non-geometric backgrounds.

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“…We also mention that T-duality along angular isometries does not necessarily lead to singular dual geometries, which has been exemplified in [56] for the NS5-brane solution.…”

Section: Remarkmentioning

confidence: 83%

Section: Global Properties Of H and V αmentioning

confidence: 99%

Section: Global Properties Of H and V αmentioning

confidence: 99%

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Non-geometric backgrounds in string theory

Plauschinn

2018

Preprint

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Global Double Field Theory is Higher Kaluza‐Klein Theory

Alfonsi

2020

Fortschritte der Physik

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Kaluza-Klein Theory states that a metric on the total space of a principal bundle P → M, if it is invariant under the principal action of P, naturally reduces to a metric together with a gauge field on the base manifold M. We propose a generalization of this Kaluza-Klein principle to higher principal bundles and higher gauge fields. For the particular case of the abelian gerbe of Kalb-Ramond field, this Higher Kaluza-Klein geometry provides a natural global formulation for Double Field Theory (DFT). In this framework the doubled space is the total space of a higher principal bundle and the invariance under its higher principal action is exactly a global formulation of the familiar strong constraint. The patching problem of DFT is naturally solved by gluing the doubled space with a higher group of symmetries in a higher category. Locally we recover the familiar picture of an ordinary para-Hermitian manifold equipped with Born geometry. Infinitesimally we recover the familiar picture of a higher Courant algebroid twisted by a gerbe (also known as Extended Riemannian Geometry). As first application we show that on a torus-compactified spacetime the Higher Kaluza-Klein reduction gives automatically rise to abelian T-duality, while on a general principal bundle it gives rise to non-abelian T-duality. As final application we define a natural notion of Higher Kaluza-Klein monopole by directly generalizing the ordinary Gross-Perry one. Then we show that under Higher Kaluza-Klein reduction, this monopole is exactly the NS5-brane on a 10d spacetime. If, instead, we smear it along a compactified direction we recover the usual DFT monopole on a 9d spacetime.

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Topology change and non-geometry at infinite distance

Demulder,

Lüst,

Raml

2024

J. High Energ. Phys.

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The distance conjecture diagnoses viable low-energy effective realisations of consistent theories of quantum gravity by examining their breakdown at infinite distance in their parameter space. At the same time, infinite distance points in parameter space are naturally intertwined with string dualities. We explore the implications of the distance conjecture when T-duality is applied to curved compact manifolds and in presence of (non-)geometric fluxes. We provide evidence of how divergent potentials signal pathological infinite distance points in the scalar field space where towers of light states cannot be sustained by the curved background. This leads us to suggest an extension to the current statement of the Swampland distance conjecture in curved spaces or in presence of non-trivial fluxes supporting the background.

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T-duality transformations for the NS5-brane along angular directions

Cited by 4 publications

References 48 publications

Non-geometric backgrounds in string theory

Non-geometric backgrounds in string theory

Global Double Field Theory is Higher Kaluza‐Klein Theory

Topology change and non-geometry at infinite distance

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