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

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.

Section: A2 Six Dimensionsmentioning

confidence: 99%

“…and seven-dimensional half-maximal gauged supergravity have been studied in [43,44]. It will be interesting to study this further and understand these holographic RG flows from the point of the dual SCFT.…”

Section: Jhep06(2018)086mentioning

confidence: 99%

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

Bobev

Triendl

2018

“…where m is the mass of the two-form in the gravitational multiplet and we abbreviated 10) with the "dressed" structure constants given by…”

Section: Jhep01(2017)069mentioning

confidence: 99%

“…This vacuum could be identified with the near horizon geometry of the D4-D8 brane system [9]. For the case of n = 3 vector multiplets and G = SO(3), another non-trivial AdS 6 vacuum breaking the SU(2) R × SO(3) symmetry to SO(3) diag and preserving the full N = (1, 1) supersymmetry has been identified in [10].…”

Section: Introductionmentioning

confidence: 97%

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

Karndumri

Louis

2017

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.

“…However, higher dimensional superconformal field theories (SCFTs) are not well understood as their lower dimensional analogues. The study of five-dimensional SCFTs using the AdS/CFT correspondence [3] has attracted a lot of attention both from ten and six-dimensional point of views, see for example [4][5][6][7][8][9]. And recently, the investigation of supersymmetric AdS 6 solutions has been carried out systematically in [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Twisted compactification of N = 2 5D SCFTs to three and two dimensions from F(4) gauged supergravity

Karndumri

2015

Self Cite

We study supersymmetric AdS 4 × Σ 2 and AdS 3 × Σ 3 solutions in halfmaximal gauged supergravity in six dimensions with SU(2) R ×SU(2) gauge group. The gauged supergravity is obtained by coupling three vector multiplets to the pure F (4) gauged supergravity. The SU(2) R R-symmetry together with the SO(3) ∼ SU(2) symmetry of the vector multiplets are gauged. The resulting gauged supergravity admits supersymmetric AdS 6 critical points with SO(4) ∼ SU(2)×SU(2) and SO(3) ∼ SU(2) diag symmetries. The former corresponds to five-dimensional N = 2 superconformal field theories (SCFTs) with E 1 ∼ SU(2) symmetry. We find new classes of supersymmetric AdS 4 × Σ 2 and AdS 3 × Σ 3 solutions with Σ 2,3 being S 2,3 and H 2,3 . These solutions describe SCFTs in three and two dimensions obtained from twisted compactifications of the aforementioned five-dimensional SCFTs with different numbers of unbroken supersymmetry and various types of global symmetries.