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Chiral gauge theories can be defined in four-dimensional Anti de Sitterspace, but AdS boundary conditions explicitly break the chiral symmetry in aspecific, well defined manner, which in turns results in an anomalous Wardidentity. 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 deformationof the CFT, which produces the same anomalous chiral Ward identities thatobtains in the 4D bulk theory.

The Three Dimensional Dual of 4D Chirality