Consistent truncation of d = 11 supergravity on AdS 4 × S 7

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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“…Originally it was defined for only the vector component of the frameÊ m A [36,62]. This was then extended to all components in [31].…”

Section: Discussionmentioning

confidence: 99%

“…Again, unlike the S 3 and S 4 examples, we have 62) and (3.61) defines a Leibniz algebra. To make the local SU (8)/Z 2 symmetry more manifest, and hence match more closely the de Wit-Nicolai formulation [9,36,31], we can use the combinations (3.54).…”

Section: S 7 and E 7(7) Generalised Geometrymentioning

confidence: 97%

Spheres, Generalised Parallelisability and Consistent Truncations

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

164

363

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“…[11] (see also [12]). They obtained an explicit expression for the metric uplift ansatz, and also partial results for the uplift ansatz for the 4-form field strength.…”

Section: Introductionmentioning

confidence: 95%

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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“…For that, it suffices to find an S 2 fiber inside the metric (2.1a). We can write the CP 2 metric as (see (A.6)) 6) where the left-invariant one-forms are 8) so this combination forms an S 2 . We then have two obvious possibilities for S 2 embedding:…”

Section: Giant Magnons In the Gravity Dualmentioning

confidence: 99%

“…The four dimensional N = 8 SO(8)-gauged supergravity [6] arises as a consistent truncation of 11 dimensional supergravity (low energy of M-theory) on the seven sphere [7,8]. But it was pointed out in [9][10][11] that the original de Wit-Nicolai solution [6] is, in fact, just one particular point in a continuous one-parameter family of solutions, where the parameter ω ∈ [0, π/8] determines the linear combination of the SO(8) electric and magnetic gauge fields.…”

Section: Jhep07(2017)020 1 Introductionmentioning

confidence: 99%

Observables in the Guarino-Jafferis-Varela/CS-SYM duality

Araujo

Năstase

2017

J. High Energ. Phys.

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Abstract:We study various semiclassical observables in the duality proposed by Guarino, Jafferis and Varela, between a warped AdS 4 × squashed S 6 gravitational solution and a 3 dimensional N = 2 SYM-CS k conformal gauge theory, deformed from the maximal SU(N ) N = 8 SYM. Baryon vertices corresponding to particle-like branes have unusual behaviour with N and k and present strong evidence for a certain level-rank duality. Wilson loops and the anomalous dimensions of operators of high spin scale like (N/k) 3/2 . The entanglement entropy behaves like in a usual CFT. Giant magnon operators obey the same law as in 4 dimensional N = 4 SYM, and giant gravitons are also sub-determinant operators.

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Consistent truncation of d = 11 supergravity on AdS 4 × S 7

Cited by 62 publications

References 58 publications

Spheres, Generalised Parallelisability and Consistent Truncations

Spheres, Generalised Parallelisability and Consistent Truncations

Embedding of gauged STU supergravity in eleven dimensions

Observables in the Guarino-Jafferis-Varela/CS-SYM duality

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