4.4 Article

The three dimensional dual of 4D chirality

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -

Publisher

SPRINGER
DOI: 10.1088/1126-6708/2009/11/114

Keywords

AdS-CFT Correspondence; 1/N Expansion; Global Symmetries

Funding

  1. NSF [PHY-0758032]
  2. ERC [n.226455]
  3. INFN
  4. MIUR [2007-5ATT78-002]
  5. European Commission [MRTN-CT-2004-005104]
  6. Direct For Mathematical & Physical Scien
  7. Division Of Physics [0758032] Funding Source: National Science Foundation

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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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