Matter Coupled <i>F</i>(4) Gauged Supergravity Lagrangian

Andrianopoli, Laura Maria; D’Auria, Riccardo; Vaulá, Silvia

doi:10.1088/1126-6708/2001/05/065

Cited by 61 publications

(155 citation statements)

References 12 publications

(39 reference statements)

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“…We can then construct the shift matrix (2.15) and the superpotential (3.27). We obtain: 47) with the superpotential being…”

Section: Jhep06(2018)086mentioning

confidence: 99%

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Holographic RG flows for four-dimensional $$ \mathcal{N}=2 $$ SCFTs

Bobev

Triendl

2018

J. High Energ. Phys.

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We study holographic renormalization group flows from four-dimensional N = 2 SCFTs to either N = 2 or N = 1 SCFTs. Our approach is based on the framework of five-dimensional half-maximal supergravity with general gauging, which we use to study domain wall solutions interpolating between different supersymmetric AdS 5 vacua. We show that a holographic RG flow connecting two N = 2 SCFTs is only possible if the flavor symmetry of the UV theory admits an SO(3) subgroup. In this case the ratio of the IR and UV central charges satisfies a universal relation which we also establish in field theory. In addition we provide several general examples of holographic flows from N = 2 to N = 1 SCFTs and relate the ratio of the UV and IR central charges to the conformal dimension of the operator triggering the flow. Instrumental to our analysis is a derivation of the general conditions for AdS vacua preserving eight supercharges as well as for domain wall solutions preserving eight Poincaré supercharges in half-maximal supergravity.

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“…We can then construct the shift matrix (2.15) and the superpotential (3.27). We obtain: 47) with the superpotential being…”

Section: Jhep06(2018)086mentioning

confidence: 99%

“…In six dimensions, half-maximally supersymmetric AdS vacua are the only allowed supersymmetric AdS vacua and have been constructed and studied in [10,[45][46][47]. Let us start by briefly reviewing [10].…”

Section: A2 Six Dimensionsmentioning

confidence: 99%

Holographic RG flows for four-dimensional $$ \mathcal{N}=2 $$ SCFTs

Bobev

Triendl

2018

J. High Energ. Phys.

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“…Nevertheless, in general, it is simpler to construct the lagrangian explicitly and we will present its complete expression in the forthcoming paper of ref. [16]. In the next section, however, we will need at least the kinetic terms and mass matrices terms in order to construct the scalar potential of the gauged theory.…”

Section: Jhep10(2000)013mentioning

confidence: 99%

Matter coupled F(4) supergravity and the AdS₆/CFT₅ correspondence

D’Auria

Ferrara

Vaulá

2000

J. High Energy Phys.

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F (4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold SO(4, n)/SO(4)×SO(n). By gauging the compact subgroup SU (2) d ⊗ G, where SU (2) d is the diagonal subgroup of SO(4) ≃ SU (2) L ⊗ SU (2) R (theR-symmetry group of six-dimensional Poincaré supergravity) and G is a compact group such that dimG = n, we compute the scalar potential which, besides the gauge coupling constants, also depends in non trivial way on the parameter m associated to a massive 2-form B µν of the gravitational multiplet. The potential admits an AdS background for g = 3m, as the pure F (4)-supergravity. We compute the scalar squared masses (which are all negative) and retrieve the results dictated by AdS 6 /CF T 5 correspondence from the conformal dimensions of boundary operators. The boundary F (4) superconformal fields are realized in terms of a singleton superfield (hypermultiplet) in harmonic superspace with flag manifold SU (2)/U (1) = S 2 . We analize the spectrum of short representations in terms of superconformal primaries and predict general features of the K-K specrum of massive type IIA supergravity compactified on warped AdS 6 ⊗ S 4 .

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“…Indeed, F 4 appears to be the only supergroup admitting two real sections 1 whose bosonic generators span respectively the algebra SO(2, 5) ⊗ SU(2) and SO(1, 6) ⊗ SU(2). This reflects into the existence of two version of F 4 supergravity: the standard one 2 , F 4 (1, 5), with supersymmetric AdS 6 background [1,4,5], and a variant version, F * 4 (1, 5), with supersymmetric dS 6 background [6]. F * 4 (1, 5) is a "variant" theory in the sense discussed by Hull [7].…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, apart from the space-time signature, the action of IIA m (5, 5) coincides with the action of IIA m (1, 9). The same happens for IIA * m (5, 5) and IIA * m (1, 9), since the action of both theories exhibits reversed sign for the kinetic terms of the RR fields [10] and the scalar potential.Matter coupled F 4 (1, 5) supergravity [4,5] admits as well an AdS 6 supersymmetric background, which has an holographic description in terms of a five dimensional superconformal field theory [11]. This result can be interpreted as the correspondence between the near horizon geometry and world-volume theory of a system of D4 − D8 branes [11,12].…”

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Domain wall/cosmology correspondence in (AdS/dS)6×S4 geometries

Vaulá

2007

Physics Letters B

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We investigate the ten dimensional origin of six dimensional F 4 variant supergravity with supersymmetric de Sitter background. We address first the issue of spontaneous compactification, showing that it consists of a warped compactification on a four sphere of a variant massive type IIA supergravity. Moreover we illustrate how the known D4-D8 brane solution, whose near horizon geometry yields AdS 6 ⊗ S 4 , is accordingly modified to a system including Euclidean branes. Finally, we discuss the relation between this latter solution and the D4-D8 brane system, showing how it represents a generalisation of the DW/Cosmology correspondence. IntroductionAmong the supergravity theories with supersymmetric AdS vacua, D = 6 N = 2, supergravity based on the exceptional supergroup F 4 [1] is somehow peculiar. Indeed, F 4 appears to be the only supergroup admitting two real sections 1 whose bosonic generators span respectively the algebra SO(2, 5) ⊗ SU(2) and SO(1, 6) ⊗ SU(2). This reflects into the existence of two version of F 4 supergravity: the standard one 2 , F 4 (1, 5), with supersymmetric AdS 6 background [1,4,5], and a variant version, F * 4 (1, 5), with supersymmetric dS 6 background [6]. F * 4 (1, 5) is a "variant" theory in the sense discussed by Hull [7]. Variant type II supergravities were introduced [7] considering T-duality transformations involving timelike circles; consequently lower dimensional variant supergravities naturally arise e.g. from compactifications on non-Euclidean tori. Hence, variant supergravities can occur in non-Lorentzian signatures. Quite generally they also have ghosts, and in lower dimensions they may have non-compact R-symmetry groups. F * 4 (1, 5) supergravity has Lorentzian signature, nevertheless is a variant theory since its vector fields are ghosts. Remarkably the R-symmetry group is compact, since it is SU(2) for both real sections. This fact turns out to be quite relevant in the understanding of its ten dimensional origin.It is in fact well known [8] that F 4 (1, 5) supergravity can be obtained from a consistent Kaluza-Klein compactification of massive IIA m (1, 9) [9] on a four-sphere. More precisely not on the whole sphere, rather on an hemisphereS 4 viewed as a foliation of three-spheres S 3 , whose rigid deformations parametrise SU(2). This observation strongly suggests that F * 4 (1, 5) must come from a similar compactification where at least the foliating S 3 is a genuine compact three-sphere.In Section 1 we will see that this is actually the case. Modifying the ansatz in [8] we show that F * 4 (1, 5) can be obtained from a compactification of 3 IIA * m (5, 5) on a timelike foursphereS 4 . The signature (5, 5) is rather peculiar: it is in fact the only signature, together with (1, 9), for which we can impose (pseudo-)Majorana and Weyl conditions at the same time. Moreover, apart from the space-time signature, the action of IIA m (5, 5) coincides with the action of IIA m (1, 9). The same happens for IIA * m (5, 5) and IIA * m (1, 9), since the action of both theor...

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Matter Coupled F(4) Gauged Supergravity Lagrangian

Cited by 61 publications

References 12 publications

Holographic RG flows for four-dimensional $$ \mathcal{N}=2 $$ SCFTs

Holographic RG flows for four-dimensional $$ \mathcal{N}=2 $$ SCFTs

Matter coupled F(4) supergravity and the AdS₆/CFT₅ correspondence

Domain wall/cosmology correspondence in (AdS/dS)6×S4 geometries

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Matter Coupled F(4) Gauged Supergravity Lagrangian

Cited by 61 publications

References 12 publications

Holographic RG flows for four-dimensional $$ \mathcal{N}=2 $$ SCFTs

Holographic RG flows for four-dimensional $$ \mathcal{N}=2 $$ SCFTs

Matter coupled F(4) supergravity and the AdS6/CFT5 correspondence

Domain wall/cosmology correspondence in (AdS/dS)6×S4 geometries

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Matter coupled F(4) supergravity and the AdS₆/CFT₅ correspondence