Consistent 4-form fluxes for maximal supergravity

Godazgar, Hadi; Godazgar, Mahdi; Krüger, Olaf; Nicolai, Hermann

doi:10.1007/jhep10(2015)169

Cited by 17 publications

(48 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

“…Similarly, the F µνρm are given by equation On the other hand, the conjectured ansatz for the Freund-Rubin term 5 is perhaps the simplest and most elegant [16] 6 12) where V (x) is the four-dimensional scalar potential, Q ijkl is simply given in terms of the T -tensor…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…4 Note that in ref. [16], the components on the left-hand side of equations (3.8) and (3.10) are denoted by…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…5 There are other established ansätze for the Freund-Rubin term (see ref. [16]). However, it has not yet been possible to show that those ansätze have the following simple form.…”

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%

See 4 more Smart Citations

Embedding of gauged STU supergravity in eleven dimensions

Azizi

Godazgar

et al. 2016

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Gauged Stu Supergravitymentioning

confidence: 99%

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…4 Note that in ref. [16], the components on the left-hand side of equations (3.8) and (3.10) are denoted by…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

“…5 There are other established ansätze for the Freund-Rubin term (see ref. [16]). However, it has not yet been possible to show that those ansätze have the following simple form.…”

Section: Gauged Stu Supergravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Embedding of gauged STU supergravity in eleven dimensions

Azizi

Godazgar

et al. 2016

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

168

View full text Add to dashboard Cite

We study D ≥ 4-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal Minkowski D and AdS D vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO(d−1−N ) structures, where d = 11−D, and N is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all D ≥ 4 half-maximal warped AdS D and Minkowski D vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new SO(5, N ) double field theory with a (6 + N )-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional N = 1 supergravity and another yielding six-dimensional N = (2, 0) SUGRA.

show abstract

AdS4 solutions of massive IIA from dyonic ISO(7) supergravity

Varela

2016

J. High Energ. Phys.

101

View full text Add to dashboard Cite

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)-invariant sector of D = 4 N = 8 supergravity with dyonic ISO(7) gauging. These formulae are then used to construct AdS 4 solutions of massive type IIA via uplift on S 6 of the critical points of the D = 4 supergravity with at least SU(3) symmetry. We find a new N = 1 solution with SU(3) symmetry, a new non-supersymmetric solution with SO(6) symmetry, and recover previously known solutions. We quantise the fluxes, calculate the gravitational free energies of the solutions and discuss the stability of the non-supersymmetric ones. Among these, a (previously known) G 2 -invariant solution is found to be stable. factor, these solutions are typically supported by internal values of the supergravity forms. The metrics on the internal S 7 and S 5 are usually inhomogeneous and display isometry groups smaller than SO(8) and SO(6). A two-step variant of this uplifting method was introduced in [20], where a spherical truncation to some intermediate dimension, e.g. D = 7 [21, 22], followed by a further reduction on a suitable (usually hyperbolic) space was performed to obtain supersymmetric AdS 4 or AdS 5 solutions.All of the above AdS 4 and AdS 5 direct product solutions and most (but not all, see e.g.[23]) of the warped products are partially supported by a non-vanishing ('electric') Freund-Rubin-like termF (4) ∼ vol(AdS) 4 in D = 11 andF (5) ∼ vol(AdS) 5 in type IIB. This reflects that the corresponding solutions describe conformal phases of the M2, D3 and, for [23], M5 brane field theories. Since type IIA supergravity also contains a four-form field strengthF 4 , it would be natural to expect that the above plethora of AdS 4 solutions in D = 11 had a counterpart in type IIA. However, this is not the case: excluding the massless IIA solutions obtained by circle reduction from D = 11, only a handful of AdS 4 solutions in type IIA are known, either smooth and sourcelss or singular and with sources. And most of them are only known numerically.Massive type IIA supergravity [24] does admit a direct product Freund-Rubin solution AdS 4 ×S 6 [24], where S 6 is equipped with the usual, round, homogeneous, SO(7)-symmetric metric: see equation (4.8). However, unlike its maximally supersymmetric counterparts in D = 11 [4] and type IIB [5], it breaks all supersymmetries. Furthermore, as it will be argued below, this solution is unstable. G-structure methods have been used to classify supersymmetric AdS 4 solutions in type IIA (as well as in other contexts) and, in some cases, these results have led to explicit classes of solutions. N = 1 AdS 4 solutions with SU(3)-structure were classified in [25] and [26]. An explicit class of N = 1 solutions of massive type IIA involving the direct product of AdS 4 with a nearly-Kähler six-dimensional manifold was discovered in [25]. This class includes, in particular, the homogeneous N = 1 direct product AdS 4 × S 6 , where the six-sphere is now regarded as S 6 = G 2 /SU(3) and ...

show abstract

Consistent 4-form fluxes for maximal supergravity

Cited by 17 publications

References 51 publications

Embedding of gauged STU supergravity in eleven dimensions

Embedding of gauged STU supergravity in eleven dimensions

Half‐Maximal Supersymmetry from Exceptional Field Theory

AdS4 solutions of massive IIA from dyonic ISO(7) supergravity

Contact Info

Product

Resources

About