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 \( \mathcal{N}=\left(1,0\right) \) 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 \( {\mathrm{\mathbb{R}}}^4/{\mathrm{\mathbb{Z}}}_k\times \mathrm{\mathbb{R}} \). 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 AdS7 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 AdS7 solution, in the form of an arbitrary number of concentric shells wrapping round S 2’s.

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Correspondence to Alessandro Tomasiello.

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ArXiv ePrint: 1404.0711

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Gaiotto, D., Tomasiello, A. Holography for (1,0) theories in six dimensions. J. High Energ. Phys. 2014, 3 (2014). https://doi.org/10.1007/JHEP12(2014)003

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Keywords

  • AdS-CFT Correspondence
  • Flux compactifications
  • Conformal Field Models in String Theory