The Three Dimensional Dual of 4D Chirality
High Energy Physics - Theory
2009-12-04 v2
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.
Keywords
Cite
@article{arxiv.0908.3487,
title = {The Three Dimensional Dual of 4D Chirality},
author = {M. Porrati and L. Girardello},
journal= {arXiv preprint arXiv:0908.3487},
year = {2009}
}
Comments
10 pages, small misprints corrected, reference [16] updated. Version to appear in JHEP