Holographic, 𝒩 = 1 supersymmetric RG flows on M2 branes

Bobev, Nikolay; Halmagyi, Nick; Pilch, Krzysztof; Warner, Nicholas P.

doi:10.1088/1126-6708/2009/09/043

Cited by 66 publications

(119 citation statements)

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“…Since the AdS/CFT correspondence has been extended to other dimensions not only for the duality between an AdS 5 supergravity and a CFT 4 [5,6,7,8,9], it is interesting to study holographic RG flows in these extensions as well. Until now, a lot of works on holographic RG flows in three and four dimensional gauged supergravities have appeared, see for example [10], [11], [12], [13] and [14].…”

Section: Introductionmentioning

confidence: 99%

Holographic RG flows in six dimensional F(4) gauged supergravity

Karndumri

2013

J. High Energ. Phys.

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Abstract:We study critical points of F (4) gauged supergravity in six dimensions coupled to three vector multiplets. Scalar fields are described by R + × SO(4,3) SO(4)×SO (3) coset space, and the gauge group is given by SO(3) R × SO(3) with SO(3) R being the R-symmetry. The maximally supersymmetric critical point with all scalars vanishing preserves the full SO(3) R × SO(3) symmetry. This is dual to a superconformal field theories (SCFT 5 ) arising from a near horizon geometry of the D4-D8 brane system in type I ′ theory with an enhanced global symmetry E 1 ∼ SU(2). Apart from this trivial critical point, we identify a new supersymmetric critical point preserving the full supersymmetry with the SO(3) R × SO(3) symmetry broken to its diagonal subgroup. This critical point should correspond to a new SCFT in five dimensions. We study an RG flow solution interpolating between the SCFT with E 1 symmetry and the new supersymmetric critical point. The flow describes a supersymmetric deformation driven by a vacuum expectation value of relevant operators of dimension 3. We identify the dual operators with the mass terms for hypermultiplet scalars in the dual field theory. The solution provides an example of analytic supersymmetric RG flows in AdS 6 /CFT 5 correspondence.

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Section: Introductionmentioning

confidence: 99%

Holographic RG flows in six dimensional F(4) gauged supergravity

Karndumri

2013

J. High Energ. Phys.

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“…Cases that have been studied involve retaining the subset of scalar fields invariant under an SO(7), G 2 , SU(3) or SO(3) × SO(3) subgroup [3,[5][6][7][8][9], or else the seven scalars parameterising the diagonal elements of the SL(8, R)/SO(8) coset associated with the 35 self-dual scalars [10]. These various truncations are parallel to the consistent scalar-field truncations performed for the the original de Wit-Nicolai theory [11][12][13][14][15][16][17][18][19]. Consistent truncations retaining U(1) gauge fields have also been considered, giving rise to an ω-deformed version of the ST U supergravity [20], and a one-parameter extension [21] of an Einstein-Maxwell-scalar system [22] previously obtained via a reduction from eleven dimensions on a seven-dimensional Sasaki-Einstein manifold.…”

Section: Jhep08(2015)122mentioning

confidence: 99%

“…(Here we adopt the same notation as [13].) Using γ 2 ǫ 8 = (ǫ 8 ) * , and 17) where ε 1 and ε 1 are two real constants. Utilizing (2.16), eqs.…”

Section: Jhep08(2015)122mentioning

confidence: 99%

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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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“…Most of the previously studied holographic RG flows have been found within the maximal N = 8 gauged supergravities [2][3][4][5][6][7][8][9]. Many of these solutions describe various deformations of the N = 8 SCFTs arising from M2-brane world-volume proposed in [10,11].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric RG flows and Janus from type II orbifold compactification

Karndumri

Upathambhakul

2017

Eur. Phys. J. C

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We study holographic RG flow solutions within four-dimensional N = 4 gauged supergravity obtained from type IIA and IIB string theories compactified on T 6 /Z 2 × Z 2 orbifold with gauge, geometric and non-geometric fluxes. In type IIB non-geometric compactifications, the resulting gauged supergravity has I SO(3)× I SO(3) gauge group and admits an N = 4 AdS 4 vacuum dual to an N = 4 superconformal field theory (SCFT) in three dimensions. We study various supersymmetric RG flows from this N = 4 SCFT to N = 4 and N = 1 non-conformal field theories in the IR. The flows preserving N = 4 supersymmetry are driven by relevant operators of dimensions = 1, 2 or alternatively by one of these relevant operators, dual to the dilaton, and irrelevant operators of dimensions = 4 while the N = 1 flows in addition involve marginal deformations. Most of the flows can be obtained analytically. We also give examples of supersymmetric Janus solutions preserving N = 4 and N = 1 supersymmetries. These solutions should describe two-dimensional conformal defects within the dual N = 4 SCFT. Geometric compactifications of type IIA theory give rise to N = 4 gauged supergravity with I SO(3) U (1) 6 gauge group. In this case, the resulting gauged supergravity admits an N = 1 AdS 4 vacuum. We also numerically study possible N = 1 RG flows to non-conformal field theories in this case.

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Holographic, 𝒩 = 1 supersymmetric RG flows on M2 branes

Cited by 66 publications

References 46 publications

Holographic RG flows in six dimensional F(4) gauged supergravity

Holographic RG flows in six dimensional F(4) gauged supergravity

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

Supersymmetric RG flows and Janus from type II orbifold compactification

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