The Three Dimensional Dual of 4D Chirality

Details The Three Dimensional Dual of 4D Chirality The Three Dimensional Dual of 4D Chirality

2009-08-24

arxiv.org/abs/0908.3487v2

JHEP 0911:114,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, small misprints corrected, reference [16] updated. Version to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/11/114

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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