# 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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