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.
9 Citations
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…
Gauge boson mass generation in AdS4
- Physics
- 2009
We investigate the role of boundary conditions in gauge theories in AdS4. The presence of the boundary can break the gauge symmetry consistently with AdS4 isometries. We show that, as a consequence,…
Confinement in anti-de Sitter space
- Physics
- 2013
A bstractFour 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…
Magnetic catalysis in AdS4
- Physics
- 2011
We study the formation of fermion condensates in anti-de Sitter space. In particular, we describe a novel version of magnetic catalysis that arises for fermions in asymptotically AdS4 geometries…
A holographic flat band
- Physics
- 2011
A bstractWe describe a novel implementation of non-relativistic fermions in AdS/CFT by imposing Lorentz violating boundary terms for a Dirac spinor in AdS4. The dual boundary theory is scale…
Cooper pairing near charged black holes
- Physics
- 2010
We show that a quartic contact interaction between charged fermions can lead to Cooper pairing and a superconducting instability in the background of a charged asymptotically Anti-de Sitter black…
A gapless hard wall: magnetic catalysis in bulk and boundary
- Physics
- 2012
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…
A gapless hard wall: magnetic catalysis in bulk and boundary
- PhysicsJournal of High Energy Physics
- 2012
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…
References
SHOWING 1-10 OF 41 REFERENCES
Gauge boson mass generation in AdS4
- Physics
- 2009
We investigate the role of boundary conditions in gauge theories in AdS4. The presence of the boundary can break the gauge symmetry consistently with AdS4 isometries. We show that, as a consequence,…
Gauge symmetry and supersymmetry of multiple M2-branes
- Mathematics, Physics
- 2008
In previous work we proposed a field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product. In this paper we gauge a symmetry that arises from the…
Type-IIA flux compactifications and N=4 gauged supergravities
- Mathematics
- 2009
We establish the precise correspondence between Type-IIA flux compactifications preserving an exact or spontaneously broken = 4 supersymmetry in four dimensions, and gaugings of their effective = 4…
Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
- Physics
- 2001
We argue that multi-trace interactions in quantum eld theory on the boundary of AdS space can be incorporated in the AdS/CFT correspondence by using a more general boundary condition for the bulk…
A second look at = 1 supersymmetric AdS4 vacua of type IIA supergravity
- Mathematics
- 2007
We show that a class of type IIA vacua recently found within the D=4 effec- tive approach corresponds to compactification on AdS 4 ×S 3 ×S 3 /Z 3 . The results obtained using the effective method…
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Mathematics
- 2008
We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 6 superconformal symmetry. Using brane constructions we argue that…