RG flows in 6D N = (1,0) SCFT from SO(4) half-maximal 7D gauged supergravity

Self Cite

We study fully supersymmetric AdS 6 vacua of half-maximal N = (1, 1) gauged supergravity in six space-time dimensions coupled to n vector multiplets. We show that the existence of AdS 6 backgrounds requires that the gauge group is of the form G × G ⊂ SO(4, n) where G ⊂ SO(3, m) and G ⊂ SO(1, n − m). In the AdS 6 vacua this gauge group is broken to its maximal compact subgroup SO(3) × H × H where H ⊂ SO(m) and H ⊂ SO(n − m). Furthermore, the SO(3) factor is the R-symmetry gauged by three of the four graviphotons. We further show that the AdS 6 vacua have no moduli that preserve all supercharges. This is precisely in agreement with the absence of supersymmetric marginal deformations in holographically dual five-dimensional superconformal field theories.

“…4 This is very similar to AdS backgrounds of half-maximal supergravities in seven dimensions [13,24,25]. Note also that by shifting the value of σ we can choose g = 3m as in [7,8].…”

Section: Jhep01(2017)069supporting

confidence: 54%

Supersymmetric AdS6 vacua in six-dimensional N = (1,1) gauged supergravity

Karndumri

Louis

2017

Self Cite

“…Separating the terms transforming in different irreducible representations of USp (4), we get 44) where to obtain the last equation we used v a ij…”

Section: Jhep06(2018)086mentioning

confidence: 99%

“…Again, if H c is trivial the only transformations that leave these conditions invariant are 16) with Λ given by (3.12), which corresponds to shifts by a Goldstone boson, establishing uniqueness of the supersymmetric AdS 7 vacuum. Also in this case, when H c contains an SO(3) subgroup, one can have multiple AdS 7 solutions preserving sixteen supercharges, as well as supersymmetric flows connecting them, see [44] for an example.…”

Section: A3 Seven Dimensionsmentioning

confidence: 99%

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

Bobev

Triendl

2018

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.

“…Such a set-up should be described by the following Ansatz: F 6−p = m 6−p , 11 Apart from the SUSY solutions, reference [33] has given evidence for a 1-parameter family of non-SUSY solutions. 12 However, reference [44] mentions that the 7-dimensional gauged SUGRA might still exist. 13 Only for p = 5 does this fails at first sight since the absence of curvature of the S 1 factor makes the Einstein equation in that direction inconsistent.…”

Section: A2 Dp Branesmentioning

confidence: 99%

Non-SUSY fractional branes

Kuperstein

Truijen

Riet

2015

We consider a simplified Ansatz for supergravity solutions describing fractional p-brane solutions (throat geometries supported by fluxes) for various p. For p = 3 the Ansatz captures the Klebanov-Tseytlin (KT) solution. The equations of motion can be derived from an effective action by performing a dimensional reduction to a flat domain wall geometry in p + 2 dimensions. We find an interesting deformation of the known superpotential defining the SUSY domain wall flow. The deformation parameter breaks supersymmetry but still preserves the property that a test Dp brane feels no force inside the throat. The new solutions come in two classes. Both classes have the same UV asymptotics as the KT solution and one class has also similar IR behavior, which makes them potentially interesting holographic backgrounds for studying cascading gauge theories with broken SUSY. We explain furthermore how the curved domain wall solutions of the same (p + 2)-dimensional theories are expected to lift to new AdS compactifications of type IIA/B supergravity.