Holography for (1,0) theories in six dimensions

Abstract

M-theory and string theory predict the existence of many six-dimensional SCFTs. In particular, type IIA brane constructions involving NS5-, D6- and D8-branes conjecturally give rise to a very large class of N=(1,0) CFTs in six dimensions. We point out that these theories sit at the end of RG flows which start from six-dimensional theories which admit an M-theory construction as a M5 stack transverse to $R^4/Z_k\times R$. The flows are triggered by Higgs branch expectation values and correspond to D6's opening up into transverse D8-branes via a Nahm pole. We find a precise correspondence between these CFT's and the AdS${}_7$ vacua found in a recent classification in type II theories. Such vacua involve massive IIA regions, and the internal manifold is topologically $S^3$. They are characterized by fluxes for the NS three-form and RR two-form, which can be thought of as the near-horizon version of the NS5's and D6's in the brane picture; the D8's, on the other hand, are still present in the AdS${}_7$ solution, in the form of an arbitrary number of concentric shells wrapping round $S^2$'s.

32 pages, 11 figures. v2: extra citations, corrections to figures 2 and 10

References in corpus (1)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory

Cited by in corpus (18)

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• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
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• Small instanton transitions for M5 fractions
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Magnetic quivers and negatively charged branes
• Aspects of Irregular Punctures via Holography
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• Non-integrability in AdS${}_3$ vacua
• Constraining integrable AdS/CFT with factorized scattering
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Noncompact gauging of N=2 7D supergravity and AdS/CFT holography
• Affine characters at negative level and elliptic genera of non-critical strings
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• Holographic zero sound for $\mathcal{N}=2$ SCFTs in 4d