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arXiv · 0908.3487

The Three Dimensional Dual of 4D Chirality

M. Porrati·L. Girardello
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Abstract

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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M. Porrati, L. Girardello. 2009-11-19. The Three Dimensional Dual of 4D Chirality. https://doi.org/10.1088/1126-6708%2F2009%2F11%2F114

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