Non-geometric branes are DFT monopoles

Bakhmatov, Ilya; Kleinschmidt, Axel; Musaev, Edvard T.

doi:10.1007/jhep10(2016)076

Cited by 51 publications

(112 citation statements)

References 73 publications

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“…One notes here, that the above expressions do not only reproduce the structure of the Bianchi identities for non-geometric backgrounds as obtained in [32], but also give the correct factor of 4 in the r.h.s.. In addition, one observes the correct counting of indices of the gauge potential and the following relation between the potentials D 6,M N KL and the gauge potentials D 6+p,p which are associated to solutions with p special directions 40) with the obvious definition of the coordinates x, y, z, w. Hence, one concludes, that the solutions listed in [32] correspond to such embedding of the DFT monopole in the full O(4,4) DFT when it interacts only with the 6-form potential D 6,M N KL .…”

Section: Jhep03(2018)111mentioning

confidence: 69%

“…are only 5 classes of solutions, which correspond precisely to 5 p 2 -branes with p = 0, 1, 2, 3, 4, as they were found in [32]. Let us list the representative solutions for these classes…”

Section: Jhep03(2018)111mentioning

confidence: 89%

“…As was shown in [32], depending on the way this is done, one ends up with not only the NS5-brane and KK-monopole but also (a generalisation of) the 5 2 2 -, 5 3 2 -and even 5 4 2 -branes. The latter is a co-dimension-0 object and usually is not considered in the analysis of exotic branes.…”

Section: Jhep03(2018)111mentioning

confidence: 99%

“…Hence, schematically one writes the following for the leading term in the Wess-Zumino action for the O(2,2) theory on the DFT monopole 32) where the integration is performed over the worldvolume of the brane and the three different terms involve the coordinates Y M which describe the fluctuations of the brane in the internal space -allowing for it to be wrapped in different orientations as in the scheme above. To see explicitly that the above indeed reproduces the known Wess-Zumino terms for NS5, KK5 and 5 2 2 branes, one first notes that the object D α 1 ...α 6 M N combines the corresponding gauge potentials in an O(2,2) covariant manner (here we write…”

Section: = 8 and O(2 2)mentioning

confidence: 99%

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Five-brane actions in double field theory

Blair¹,

Musaev²

2018

J. High Energ. Phys.

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Abstract:We construct an action for NSNS 5-branes which is manifestly covariant under O(d, d). This is done by doubling d of the spacetime coordinates which appear in the worldvolume action. By formulating the DBI part of the action in a manner similar to a "gauged sigma model", only half the doubled coordinates genuinely appear. Our approach allows one to describe the full T-duality orbit of the IIB NS5 brane, the IIA KKM and their exotic relations in one formalism. Furthermore, by using ideas from double field theory, our action can be said to describe various aspects of non-geometric five-branes.

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Section: Jhep03(2018)111mentioning

confidence: 69%

“…are only 5 classes of solutions, which correspond precisely to 5 p 2 -branes with p = 0, 1, 2, 3, 4, as they were found in [32]. Let us list the representative solutions for these classes…”

Section: Jhep03(2018)111mentioning

confidence: 89%

Section: Jhep03(2018)111mentioning

confidence: 99%

Section: = 8 and O(2 2)mentioning

confidence: 99%

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Five-brane actions in double field theory

Blair¹,

Musaev²

2018

J. High Energ. Phys.

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“…We believe that globally well-defined 5 2 2 -brane solutions exist even in heterotic theories. We note that the most tractable way to study the non-geometric nature of string theory solutions is the double field theory construction of supergravity [51,52]. There are several studies about double field theory formulation of heterotic supergravity [53] and the inclusion of α ′ -corrections [54][55][56][57].…”

Section: Jhep11(2016)064 5 Conclusion and Discussionmentioning

confidence: 99%

Non-geometric five-branes in heterotic supergravity

Sasaki

Yata

2016

J. High Energ. Phys.

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We study T-duality chains of five-branes in heterotic supergravity where the first order α ′ -corrections are present. By performing the α ′ -corrected T-duality transformations of the heterotic NS5-brane solutions, we obtain the KK5-brane and the exotic 5 2 2 -brane solutions associated with the symmetric, the neutral and the gauge NS5-branes. We find that the Yang-Mills gauge field in these solutions satisfies the self-duality condition in the three-and two-dimensional transverse spaces to the brane world-volumes. The O(2, 2) monodromy structures of the 5 2 2 -brane solutions are investigated by the α ′ -corrected generalized metric. Our analysis shows that the symmetric 5 2 2 -brane solution, which satisfies the standard embedding condition, is a T-fold and it exhibits the non-geometric nature. We also find that the neutral 5 2 2 -brane solution is a T-fold at least at O(α ′ ). On the other hand, the gauge 5 2 2 -brane solution is not a T-fold but show unusual structures of space-time.

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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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Non-geometric branes are DFT monopoles

Cited by 51 publications

References 73 publications

Five-brane actions in double field theory

Five-brane actions in double field theory

Non-geometric five-branes in heterotic supergravity

Global Double Field Theory is Higher Kaluza‐Klein Theory

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