Nonlinear Kaluza-Klein theory for dual fields

Godazgar, Hadi; Godazgar, Mahdi; Nicolai, Hermann

doi:10.1103/physrevd.88.125002

Cited by 35 publications

(152 citation statements)

References 42 publications

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“…In this section we summarise briefly the uplift ansätze for the full N = 8 gauged SO (8) supergravity [13,15,16,20,27]. 3 We remark that the ansätze presented below are not unique, and in fact there are many possible ways of writing them down [28,29].…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…with A mnp as determined by equation (3.4) and A µmn given by the following exact vector ansatz [15] A µmn (x, y) = 1 24…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…The F mnpq components of the field strength can be obtained simply from the ansatz for A mnp [13,15,20]…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…Their construction, making extensive use of the supersymmetry of the theory, essentially proves that the reduction is necessarily a consistent one. Much more recently, further work has provided more complete expressions for the 4-form uplift ansatz, and has also provided further insights into the structure of the reduction [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…With the recent advances in the construction of the internal 4-form uplift ansatz for the SO(8) gauged supergravity that have been achieved in refs. [13,15,20], we are now in a position to complete the job that was left unfinished in ref. [19].…”

Section: Introductionmentioning

confidence: 99%

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Embedding of gauged STU supergravity in eleven dimensions

Azizi

Godazgar

et al. 2016

Phys. Rev. D

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The consistency of the embedding of four-dimensional SO(8) gauged N = 8 supergravity into eleven-dimensional supergravity, where the internal directions are compactified on a seven-sphere, was established by de Wit and Nicolai in the 1980s. The reduction ansatz for the eleven-dimensional metric, and for some of the components of the 4-form field strength, were found at that time, and recently the complete expression for the 4-form reduction has been obtained. The expressions are quite complicated, and in many practical applications it would be sufficient to know the ansatz for a subset of the four-dimensional fields. In this paper, we obtain explicit expressions for the embedding of the truncation of the full N = 8 gauged theory to the N = 2 gauged STU supergravity. This corresponds, in the bosonic sector, to a consistent truncation of the N = 8 supergravity fields to those that are singlets under the U (1) 4 Cartan subalgebra of SO(8). This truncation to STU supergravity, which comprises N = 2 supergravity coupled to three vector multiplets, suffices, for example, for lifting the general 8-charge asymptotically-AdS rotating black holes to eleven dimensions.We also give two distinct further truncations to N = 2 supergravities coupled to single vector multiplets.

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Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…with A mnp as determined by equation (3.4) and A µmn given by the following exact vector ansatz [15] A µmn (x, y) = 1 24…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…The F mnpq components of the field strength can be obtained simply from the ansatz for A mnp [13,15,20]…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Embedding of gauged STU supergravity in eleven dimensions

Azizi

Godazgar

et al. 2016

Phys. Rev. D

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Spheres, Generalised Parallelisability and Consistent Truncations

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

165

363

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We show that generalised geometry gives a unified description of maximally supersymmetric consistent truncations of ten-and eleven-dimensional supergravity. In all cases the reduction manifold admits a "generalised parallelisation" with a frame algebra with constant coefficients. The consistent truncation then arises as a generalised version of a conventional Scherk-Schwarz reduction with the frame algebra encoding the embedding tensor of the reduced theory. The key new result is that all round-sphere S d geometries admit such generalised parallelisations with an SO(d + 1) frame algebra. Thus we show that the remarkable consistent truncations on S 3 , S 4 , S 5 and S 7 are in fact simply generalised Scherk-Schwarz reductions. This description leads directly to the standard non-linear scalar-field ansatze and as an application we give the full scalar-field ansatz for the type IIB truncation on S 5 .

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New Gaugings and Non‐Geometry

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

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Abstract:We discuss the possible realisation in string/M theory of the recently discovered family of four-dimensional maximal SO(8) gauged supergravities, and of an analogous family of seven-dimensional half-maximal SO(4) gauged supergravities. We first prove a no-go theorem that neither class of gaugings can be realised via a compactification that is locally described by ten-or eleven-dimensional supergravity. In the language of Double Field Theory and its M theory analogue, this implies that the section condition must be violated. Introducing the minimal number of additional coordinates possible, we then show that the standard S 3 and S 7 compactifications of ten-and eleven-dimensional supergravity admit a new class of section-violating generalised frames with a generalised Lie derivative algebra that reproduces the embedding tensor of the SO (4) and SO (8) gaugings respectively. The physical meaning, if any, of these constructions is unclear. They highlight a number of the issues that arise when attempting to apply the formalism of Double Field Theory to non-toroidal backgrounds. Using a naive brane charge quantisation to determine the periodicities of the additional coordinates restricts the SO(4) gaugings to an infinite discrete set and excludes all the SO(8) gaugings other than the standard one.

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Nonlinear Kaluza-Klein theory for dual fields

Cited by 35 publications

References 42 publications

Embedding of gauged STU supergravity in eleven dimensions

Embedding of gauged STU supergravity in eleven dimensions

Spheres, Generalised Parallelisability and Consistent Truncations

New Gaugings and Non‐Geometry

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