# 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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A bstractWe study various aspects of fermions and their chiral condensates, both in the bulk of AdS4 spacetime and in the dual boundary theory. For the most part, we focus on a geometry with an…

### Confinement in anti-de Sitter space

- PhysicsJournal of High Energy Physics
- 2013

Four dimensional gauge theories in anti-de Sitter space, including pure Yang-Mills theory, exhibit a quantum phase transition between a deconfined phase and a confined phase as the gauge coupling is…

### A gapless hard wall: magnetic catalysis in bulk and boundary

- PhysicsJournal of High Energy Physics
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We study various aspects of fermions and their chiral condensates, both in the bulk of AdS4 spacetime and in the dual boundary theory. For the most part, we focus on a geometry with an infra-red hard…

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