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Karndumri, Parinya; Upathambhakul, Khem

doi:10.1103/physrevd.93.125017

Cited by 18 publications

(20 citation statements)

References 38 publications

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“…Also, applications in holography would be interesting with respect to this newly found theory. Recent papers, [21,22], have discussed several of these applications concerning N = 3 Poincaré supergravity. It would be interesting to see in what way these results can be incorporated into the superconformal theory.…”

Section: Jhep01(2019)167mentioning

confidence: 99%

“…It can be expected that these methods will result in the same theory for the supergravity obtained by promoting 3 of the 4 rigid supersymmetries in the N = 4 supersymmetric σ-model. In any case the superconformal construction of N = 3 Poincaré supergravity theory may shed more light on the structure of these theories whose solutions were recently studied in the context the AdS/CFT correspondence [21,22]. Also the alternative N = 3 theories mentioned above may be studied with superconformal methods.…”

Section: Introductionmentioning

confidence: 99%

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The $$ \mathcal{N} $$ = 3 Weyl multiplet in four dimensions

Muiden

Proeyen

2019

J. High Energ. Phys.

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The main ingredient for local superconformal methods is the multiplet of gauge fields: the Weyl multiplet. We construct the transformations of this multiplet for N = 3, D = 4. The construction is based on a supersymmetry truncation from the N = 4 Weyl multiplet, on coupling with a current multiplet, and on the implementation of a soft algebra at the nonlinear level, extending su(2, 2|3). This is the first step towards a superconformal calculus for N = 3, D = 4.

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Section: Jhep01(2019)167mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The $$ \mathcal{N} $$ = 3 Weyl multiplet in four dimensions

Muiden

Proeyen

2019

J. High Energ. Phys.

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“…The case N = 2 is not contained in table 4.1 but an antisymmetric traceless representation of USp(2) does not exist. 18 Aspects of AdS solutions and gaugings of four-dimensional N = 3 supergravities have also been discussed in [46][47][48].…”

Section: Ads Solutions In Four-dimensional N = 3 Supergravitymentioning

confidence: 99%

Maximally supersymmetric AdS solutions and their moduli spaces

Lüst

Rüter

Louis

2018

J. High Energ. Phys.

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We study maximally supersymmetric AdS D solutions of gauged supergravities in dimensions D ≥ 4. We show that such solutions can only exist if the gauge group after spontaneous symmetry breaking is a product of two reductive groups H R × H mat , where H R is uniquely determined by the dimension D and the number of supersymmetries N while H mat is unconstrained. This resembles the structure of the global symmetry groups of the holographically dual SCFTs, where H R is interpreted as the R-symmetry and H mat as the flavor symmetry. Moreover, we discuss possible supersymmetry preserving continuous deformations, which correspond to the conformal manifolds of the dual SCFTs. Under the assumption that the scalar manifold of the supergravity is a symmetric space we derive general group theoretical conditions on these moduli. Using these results we determine the AdS solutions of all gauged supergravities with more than 16 real supercharges. We find that almost all of them do not have supersymmetry preserving deformations with the only exception being the maximal supergravity in five dimensions with a moduli space given by SU(1, 1)/U(1). Furthermore, we determine the AdS solutions of four-dimensional N = 3 supergravities and show that they similarly do not admit supersymmetric moduli.1 If we denote the conserved current of a global symmetry of the boundary CFT by J it couples via ∂AdS A ∧ * J to the gauge field A of a local symmetry in the bulk.2 Note, however, that there are SCFTs without an R-symmetry, as for example three-dimensional N = 1 theories. In this case also the gauge group factor H g R of the dual supergravity solution is trivial.

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“…These deformations necessarily break some amount of supersymmetry since the N = 4 Ad S 4 vacua have no moduli preserving N = 4 supersymmetry [28]. It should also be noted that the vacuum structure of this gauged supergravity is very similar to two copies of SO(3) × SO(3) ∼ SO(4) N = 3 gauged supergravity considered in [34].…”

Section: Ad S 4 Vacuamentioning

confidence: 94%

Holographic RG flows in $$N=4$$ N = 4 SCFTs from half-maximal gauged supergravity

Karndumri

Upathambhakul

2018

Eur. Phys. J. C

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We study four-dimensional N = 4 gauged supergravity coupled to six vector multiplets with semisimple gauge groups SO(4) × SO(4), SO(3, 1) × SO(3, 1) and SO(4) × SO(3, 1). All of these gauge groups are dyonically embedded in the global symmetry group SO(6, 6) via its maximal subgroup SO(3, 3)×SO(3, 3). For SO(4)×SO(4) gauge group, there are four N = 4 supersymmetric Ad S 4 vacua with SO (4) ×SO(4), SO(4)×SO(3), SO(3)×SO(4)and SO(3) × SO(3) symmetries, respectively. These Ad S 4 vacua correspond to N = 4 SCFTs in three dimensions with SO(4) R-symmetry and different flavor symmetries. We explicitly compute the full scalar mass spectra at all these vacua. Holographic RG flows interpolating between these conformal fixed points are also given. The solutions describe supersymmetric deformations of N = 4 SCFTs by relevant operators of dimensions = 1, 2. A number of these solutions can be found analytically although some of them can only be obtained numerically. These results provide a rich and novel class of N = 4 fixed points in threedimensional Chern-Simons-Matter theories and possible RG flows between them in the framework of N = 4 gauged supergravity in four dimensions. Similar studies are carried out for non-compact gauge groups, but the SO(4) × SO(4) gauge group exhibits a much richer structure.

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Gaugings of four-dimensionalN=3supergravity andAdS4/CFT3ho

Cited by 18 publications

References 38 publications

The $$ \mathcal{N} $$ = 3 Weyl multiplet in four dimensions

The $$ \mathcal{N} $$ = 3 Weyl multiplet in four dimensions

Maximally supersymmetric AdS solutions and their moduli spaces

Holographic RG flows in $$N=4$$ N = 4 SCFTs from half-maximal gauged supergravity

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