The three dimensional dual of 4D chirality

@article{Porrati2009TheTD,
  title={The three dimensional dual of 4D chirality},
  author={Massimo Porrati and Luciano Girardello},
  journal={Journal of High Energy Physics},
  year={2009},
  volume={2009},
  pages={114-114}
}
Chiral gauge theories can be defined in four-dimensional Anti de Sitter space, but AdS boundary conditions explicitly break the chiral symmetry in a specific, well defined manner, which in turns results in an anomalous Ward identity. When the 4D theory admits a dual description in terms of a 3D CFT, the 3D dual of the broken chiral symmetry is a certain double-trace deformation of the CFT, which produces the same anomalous chiral Ward identities that obtains in the 4D bulk theory. 

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