Twisted compactifications of 6D field theories from maximal 7D gauged supergravity

Abstract

We study supersymmetric $Ad{S}_n\times {\Sigma }^{7-n}$, $n=2,3,4,5$ solutions in seven-dimensional maximal gauged supergravity with $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)$ gauge groups. These gauged supergravities are consistent truncations of eleven-dimensional supergravity and type IIB theory on $H^{p,q}\circ T^{5-p-q}$ and $H^{p,q}\circ T^{4-p-q}$, respectively. Apart from recovering the previously known $Ad{S}_n\times {\Sigma }^{7-n}$ solutions in $SO(5)$ gauge group, we find novel classes of $Ad{S}_5\times S^2$, $Ad{S}_3\times S^2\times {\Sigma }^2$ and $Ad{S}_3\times C{P}^2$ solutions in non-compact $SO(3,2)$ gauge group together with a class of $Ad{S}_3\times C{P}^2$ solutions in $SO(4,1)$ gauge group. In $SO(5)$ gauge group, we extensively study holographic RG flow solutions interpolating from the $SO(5)$ supersymmetric $Ad{S}_7$ vacuum to the $Ad{S}_n\times {\Sigma }^{7-n}$ fixed points and singular geometries in the form of curved domain walls with $Mk{w}_{n-1}\times {\Sigma }^{7-n}$ slices. In many cases, the singularities are physically acceptable and can be interpreted as non-conformal phases of $(n-1)$-dimensional SCFTs obtained from twisted compactifications of $N=(2,0)$ SCFT in six dimensions. In $SO(3,2)$ and $SO(4,1)$ gauge groups, we give a large number of RG flows between the new $Ad{S}_n\times {\Sigma }^{7-n}$ fixed points and curved domain walls while, in $CSO(p,q,4-p-q)$ gauge group, RG flows interpolating between asymptotically locally flat domain walls and curved domain walls are given.

arXiv comment70 pages, 47 figures, typos corrected

References in corpus (39)

• Gauge Theory Correlators from Non-Critical String Theory
• Supergravity description of field theories on curved manifolds and a no go theorem
• The domain-wall/QFT correspondence
• Four-Dimensional SCFTs from M5-Branes
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Supersymmetric AdS_4 black holes and attractors
• Consistency of the $Ad{S}_7\times S_4$ reduction and the origin of self-duality in odd dimensions
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• Precision holography for non-conformal branes
• The maximal D=4 supergravities
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• M-Fivebranes Wrapped on Supersymmetric Cycles
• The maximal D=5 supergravities
• Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
• The maximal D=7 supergravities
• Fivebranes Wrapped On Associative Three-Cycles
• Two-dimensional SCFTs from D3-branes
• Universal RG Flows Across Dimensions and Holography
• S^3 and S^4 Reductions of Type IIA Supergravity
• M-Fivebranes Wrapped on Supersymmetric Cycles II
• Supersymmetric $Ad{S}_6$ black holes from matter coupled $F(4)$ gauged supergravity
• 3D supergravity from wrapped M5-branes
• Supersymmetric $Ad{S}_6$ black holes from $F(4)$ gauged supergravity
• 3D Supergravity from wrapped D3-branes
• Interpolating from AdS_(D-2) X S^2 to AdS_D
• (0,2) SCFTs from the Leigh-Strassler Fixed Point
• Supergravity, Non-Conformal Field Theories and Brane-Worlds
• Dualising consistent IIA / IIB truncations
• M-Theory solutions with AdS factors
• Betti multiplets, flows across dimensions and c-extremization
• Dimensional reduction of BPS attractors in AdS gauged supergravities
• Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions
• Supersymmetric AdS${}_2\times {\Sigma }_2$ solutions from tri-sasakian truncation
• Supersymmetric domain walls in 7D maximal gauged supergravity
• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity

Cited by in corpus (6)

• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Wrapped D4-branes from maximal 6D gauged supergravity
• Generalised U-dual solutions in supergravity
• Supersymmetric quantum mechanics from wrapped D4-branes