Spheres, generalised parallelisability and consistent truncations

Lee, Kanghoon; Strickland‐Constable, Charles; Waldram, Daniel

doi:10.48550/arxiv.1401.3360

Cited by 72 publications

(174 citation statements)

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“…For example, one can in principle setup a reformulation along the lines of [9,28] for type IIB supergravity and thereby study its S 5 truncation-for a recent conjecture on uplift ansätze in this case see Ref. [48].…”

Section: Discussionmentioning

confidence: 99%

An SO(3)×SO(3) invariant solution of D = 11 supergravity

Godazgar

Krüger

et al. 2015

J. High Energ. Phys.

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We construct a new SO(3)×SO(3) invariant non-supersymmetric solution of the bosonic field equations of D = 11 supergravity from the corresponding stationary point of maximal gauged N = 8 supergravity by making use of the non-linear uplift formulae for the metric and the 3-form potential. The latter are crucial as this solution appears to be inaccessible to traditional techniques of solving Einstein's field equations, and is arguably the most complicated closed form solution of this type ever found. The solution is also a promising candidate for a stable non-supersymmetric solution of M-theory uplifted from gauged supergravity. The technique that we present here may be applied more generally to uplift other solutions of gauged supergravity.

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Section: Discussionmentioning

confidence: 99%

An SO(3)×SO(3) invariant solution of D = 11 supergravity

Godazgar

Krüger

et al. 2015

J. High Energ. Phys.

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“…Another aspect that we would like to investigate is whether the conjectured form of the Freund-Rubin term holds in general for all truncations of any theory. A setting in which the analogous question can be addressed using similar methods (analysis of GVPs and fermion supersymmetry variations) is the reduction of type IIB supergravity to five dimensions, where the necessary framework exists [40]-nonlinear ansätze, which arise from an analysis of the supersymmetry transformations of the vectors [40], have been proposed [41] and presented explicitly [42] in this case. Furthermore, in this case, the analysis of the supersymmetry transformations of the vectors has already been used by Pilch and Warner (appendix A of Ref.…”

Section: Discussionmentioning

confidence: 99%

“…We now make use of Eqn. (46), remembering that the contributions from the generalised connections vanish, and insert the explicit formulae for the vielbein components, ( 23)- (26), into the expression for the Freund-Rubin term, (41). Defining…”

Section: The Freund-rubin Term In Terms Of D = 4 Fieldsmentioning

confidence: 99%

Consistent 4-form fluxes for maximal supergravity

Godazgar

Krüger

et al. 2015

J. High Energ. Phys.

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We derive new ansätze for the 4-form field strength of D = 11 supergravity corresponding to uplifts of four-dimensional maximal gauged supergravity. In particular, the ansätze directly yield the components of the 4-form field strength in terms of the scalars and vectors of the four-dimensional maximal gauged supergravity -in this way they provide an explicit uplift of all four-dimensional consistent truncations of D = 11 supergravity. The new ansätze provide a substantially simpler method for uplifting d = 4 flows compared to the previously available method using the 3-form and 6-form potential ansätze. The ansatz for the Freund-Rubin term allows us to conjecture a 'master formula' for the latter in terms of the scalar potential of d = 4 gauged supergravity and its first derivative. We also resolve a long-standing puzzle concerning the antisymmetry of the flux obtained from uplift ansätze.

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“…solved the non compact gaugings by using the framework of the first section, the authors explicitly verified that the generalised vielbein is a solution to the differential equations of this section. The analogous verification in the compact SO (8) gaugings was performed in [18].…”

Section: Exceptional Geometry Interpretationmentioning

confidence: 89%

Uplifting Maximal Gauged Supergravities

Baron¹

2015

Preprint

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Which theories have a higher dimensional origin in String/M-theory is a non trivial question and it is still far from being understood in the constrained scenario of maximal supergravities. After 35 years of progress in this direction we have found supporting evidence in favor of the idea that every electric maximal supergravity in 4 dimensions can be uplifted to M-theory. We will review the current understanding of this problem with special emphasis in the uplifting of non compact supergravities and their relation with Exceptional Generalised Geometry.

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Spheres, generalised parallelisability and consistent truncations

Cited by 72 publications

References 0 publications

An SO(3)×SO(3) invariant solution of D = 11 supergravity

An SO(3)×SO(3) invariant solution of D = 11 supergravity

Consistent 4-form fluxes for maximal supergravity

Uplifting Maximal Gauged Supergravities

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