Correlation functions in ω-deformed N = 6 $$ \mathcal{N}=6 $$ supergravity

Borghese, Andrea; Pang, Yi; Pope, C.N.; Sezgin, Ergin

doi:10.1007/jhep02(2015)112

Cited by 13 publications

(17 citation statements)

References 44 publications

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“…These results are consistent with the detailed AdS/CFT analysis of []. There it was shown that the standard boundary conditions for fluctuations in

A d S_{4}

of the generic

prefixitalicSO (8)

gaugings are only supersymmetric for the standard

ω = 0

case.…”

Section: Discussionsupporting

confidence: 89%

“…The de Wit–Nicolai theory famously arises as a consistent truncation of eleven‐dimensional supergravity on a round seven‐sphere . A natural question is whether all the theories in the family can be realised in higher‐dimensional supergravity, or, more generally, as string or M theory backgrounds, a possibility that has been investigated by a number of authors …”

Section: Introductionmentioning

confidence: 99%

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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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“…These results are consistent with the detailed AdS/CFT analysis of []. There it was shown that the standard boundary conditions for fluctuations in

A d S_{4}

of the generic

prefixitalicSO (8)

gaugings are only supersymmetric for the standard

ω = 0

case.…”

Section: Discussionsupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

New Gaugings and Non‐Geometry

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

View full text Add to dashboard Cite

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“…As a consistency check, if we write 4) then in order that S ′ , S ′ and P ′ , P ′ should be dual to ∆ = 1 and ∆ = 2 primary operators respectively, the boundary conditions 5) JHEP08 (2015)122 should preserve the N = 1 supersymmetry of ω-deformed supergravity in the bulk. In terms of the original fields, the above boundary conditions amount to These are consistent with the N = 1 boundary conditions given in [42] for the ω-deformed SO (8) gauged N = 8 supergravity.…”

Section: Jhep08(2015)122supporting

confidence: 73%

Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) gauged N = 8 $$ \mathcal{N}=8 $$ supergravity

Pang

Pope

Rong

2015

J. High Energ. Phys.

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Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) Abstract: We consider a certain N = 1 supersymmetric, SO(3) × SO(3) invariant, subsector of the ω-deformed family of SO(8)-gauged N = 8 four-dimensional supergravities. The theory contains two scalar fields and two pseudoscalar fields. We look for stationary points of the scalar potential, corresponding to AdS vacua in the theory. One of these, which breaks all supersymmetries but is nonetheless stable, is new. It exists only when ω = 0. We construct supersymmetric domain wall solutions in the truncated theory, and we give a detailed analysis of their holographic dual interpretations using the AdS/CFT correspondence. Domain walls where the pseudoscalars vanish were studied previously, but those with non-vanishing pseudoscalars, which we analyse numerically, are new. The pseudoscalars are associated with supersymmetric mass deformations in the CFT duals. When ω is zero, the solutions can be lifted to M-theory, where they approach the Coulomb-branch flows of dielectric M5-branes wrapped on S 3 in the deep IR.

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“…18 Similar phenomenon was discovered in the ω-deformed N = 6 supergravity [38]. There due to nonlinear effects, the mixing angle takes discreet values.…”

Section: Supersymmetric Boundary Conditionsmentioning

confidence: 64%

ABJ quadrality

Honda

Pang

Zhu

2017

J. High Energ. Phys.

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Abstract:We study physical consequences of adding orientifolds to the ABJ triality, which is among 3d N = 6 superconformal Chern-Simons theory known as ABJ theory, type IIA string in AdS 4 × CP 3 and N = 6 supersymmetric (SUSY) Vasiliev higher spin theory in AdS 4 . After adding the orientifolds, it is known that the gauge group of the ABJ theory becomes O(N 1 ) × USp(2N 2 ) while the background of the string theory is replaced by AdS 4 × CP 3 /Z 2 , and the supersymmetries in the both theories reduce to N = 5. We propose that adding the orientifolds to the N = 6 Vasiliev theory leads to N = 5 SUSY Vasiliev theory. It turns out that the N = 5 case is more involved because there are two formulations of the N = 5 Vasiliev theory with either O or USp internal symmetry. We show that the two N = 5 Vasiliev theories can be understood as certain projections of the N = 6 Vasiliev theory, which we identify with the orientifold projections in the Vasiliev theory. We conjecture that the O(N 1 ) × USp(2N 2 ) ABJ theory has the two vector model like limits: N 2 ≫ N 1 and N 1 ≫ N 2 which correspond to the semi-classical N = 5 Vasiliev theories with O(N 1 ) and USp(2N 2 ) internal symmetries respectively. These correspondences together with the standard AdS/CFT correspondence comprise the ABJ quadrality among the N = 5 ABJ theory, string/M-theory and two N = 5 Vasliev theories. We provide a precise holographic dictionary for the correspondences by comparing correlation functions of stress tensor and flavor currents. Our conjecture is supported by various evidence such as agreements of the spectra, one-loop free energies and SUSY enhancement on the both sides. We also predict the leading free energy of the N = 5 Vasiliev theory from the CFT side. As a byproduct, we give a derivation of the relation between the parity violating phase in the N = 6 Vasiliev theory and the parameters in the N = 6 ABJ theory, which was conjectured in [1].

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Correlation functions in ω-deformed N = 6 $$ \mathcal{N}=6 $$ supergravity

Cited by 13 publications

References 44 publications

New Gaugings and Non‐Geometry

New Gaugings and Non‐Geometry

Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) gauged N = 8 $$ \mathcal{N}=8 $$ supergravity

ABJ quadrality

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