An multiplet of 8-dimensional type II supergravity theories and the gauged supergravity inside

Alonso-Alberca, Natxo; Meessen, Patrick; Ortı́n, Tomás

doi:10.1016/s0550-3213(01)00110-9

Cited by 19 publications

(42 citation statements)

References 20 publications

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“…One of them, with α 2 = 0, has a singular mass matrix and therefore, following a similar statement made in [30], does not seem to correspond to a gauged supergravity theory. The class with α 2 < 0 has been shown to be an SO(2)-gauged supergravity [18].…”

Section: Discussionmentioning

confidence: 52%

Type IIB 7-brane solutions from nine-dimensional domain walls

Bergshoeff

Gran

Roest

2002

Class. Quantum Grav.

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We investigate half-supersymmetric domain wall solutions of four maximally supersymmetric D = 9 massive supergravity theories obtained by Scherk–Schwarz reduction of D = 10 IIA and IIB supergravity. One of the theories does not have a superpotential and does not allow domain wall solutions preserving any supersymmetry. The other three theories have superpotentials leading to half-supersymmetric domain wall solutions, one of which has zero potential but non-zero superpotential. The uplifting of these domain wall solutions to ten dimensions leads to three classes of half-supersymmetric type IIB 7-brane solutions. All solutions within each class are related by SL(2, ℝ) transformations. The three classes together contain solutions carrying all possible (quantized) 7-brane charges. One class contains the well-known D7-brane solution and its dual partners and we provide the explicit solutions for the other two classes. The domain wall solution with zero potential lifts up to a half-supersymmetric conical spacetime.

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Section: Discussionmentioning

confidence: 52%

Type IIB 7-brane solutions from nine-dimensional domain walls

Bergshoeff

Gran

Roest

2002

Class. Quantum Grav.

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“…[17,41]. In particular,μ (â) are curved (flat) 11-dimensional indices and our signature is (+ − · · · −).…”

Section: Massive 11-dimensional Supergravitymentioning

confidence: 99%

“…The reduction of next case n = 3 in the direction of the three Killing vectors gives 8-dimensional gauged theories [41]. Only the SO(3) case was studied in Ref.…”

Section: Massive N = 4 D = 8 Supergravities From D = 11mentioning

confidence: 99%

Gauged/massive supergravities in diverse dimensions

Alonso-Alberca

Ortı́n

2003

Nuclear Physics B

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We show how massive/gauged maximal supergravities in 11 − n dimensions with SO(n − l, l) gauge groups (and other non-semisimple subgroups of Sl(n, R)) can be systematically obtained by dimensional reduction of "massive 11-dimensional supergravity". This series of massive/gauged supergravities includes, for instance, Romans' massive N = 2A, d = 10 supergravity for n = 1, N = 2, d = 9 SO(2) and SO(1, 1) gauged supergravities for n = 2, and N = 8, d = 5 SO(6 − l, l) gauged supergravity. In all cases, higher p-form fields get masses through the Stückelberg mechanism which is an alternative to self-duality in odd dimensions.

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“…3 Our main motivation for considering this problem is to simplify and systematize the construction of a one-parameter family of inequivalent gaugings with the same SO(3) group of maximal 8-dimensional supergravity, whose existence was conjectured in Ref. [8]: 4 using Scherk-Schwarz's generalized dimensional reduction [13] Salam and Sezgin obtained from 11-dimensional reduction an 8-dimensional SO(3)-gauged maximal supergravity in which the 3 Kaluza-Klein vectors played the role of gauge fields [14]. 5 The ungauged theory, though, has a second triplet of vector fields coming from the reduction of the 11-dimensional 3-form that can also be used as gauge fields and an SL(2, R) global symmetry that relates these two triplets of vectors, suggesting one could use as gauge fields any linear combination of these triplets.…”

Section: Introductionmentioning

confidence: 99%

“…The gauged theory in which the second tripet of vectors (those coming from the reduction of the 11-dimensional 3-form) played the role of gauge fields was obtained in Ref. [8] by dimensional reduction of a non-covariant deformation of 11-dimensional supergravity proposed in Ref. [7,9].…”

Section: Introductionmentioning

confidence: 99%

The tensor hierarchy of 8-dimensional field theories

Andino¹,

Ortı́n²

2016

J. High Energ. Phys.

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Abstract:We construct the tensor hierarchy of generic, bosonic, 8-dimensional field theories. We first study the form of the most general 8-dimensional bosonic theory with Abelian gauge symmetries only and no massive deformations. This study determines the tensors that occur in the Chern-Simons terms of the (electric and magnetic) field strengths and the action for the electric fields, which we determine. Having constructed the most general Abelian theory we study the most general gaugings of its global symmetries and the possible massive deformations using the embedding tensor formalism, constructing the complete tensor hierarchy using the Bianchi identities. We find the explicit form of all the field strengths of the gauged theory up to the 6-forms. Finally, we find the equations of motion comparing the Noether identities with the identities satisfied by the Bianchi identities themselves. We find that some equations of motion are not simply the Bianchi identities of the dual fields, but combinations of them.

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An multiplet of 8-dimensional type II supergravity theories and the gauged supergravity inside

Cited by 19 publications

References 20 publications

Type IIB 7-brane solutions from nine-dimensional domain walls

Type IIB 7-brane solutions from nine-dimensional domain walls

Gauged/massive supergravities in diverse dimensions

The tensor hierarchy of 8-dimensional field theories

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