Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-15
Nucl.Phys.B556:89-114,1999
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, harvmac, psfig; improved discussion of the resolved conifold, several other clarifications and references added
Scientific paper
10.1016/S0550-3213(99)00387-9
We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scalar fields acquire expectation values, and we show how to calculate them from the behavior of perturbations to the AdS background near the boundary. Specific examples include the ${\cal N}=4$ SYM theory, and theories on D3 branes placed on orbifolds and conifolds. We also clarify some subtleties of the AdS/CFT correspondence that arise in this analysis. In particular, we explain how scalar fields in AdS space of sufficiently negative mass-squared can be associated with CFT operators of {\it two} possible dimensions. All dimensions are bounded from below by $(d-2)/2$; this is the unitarity bound for scalar operators in $d$-dimensional field theory. We further argue that the generating functional for correlators in the theory with one choice of operator dimension is a Legendre transform of the generating functional in the theory with the other choice.
Klebanov Igor R.
Witten Edward
No associations
LandOfFree
AdS/CFT Correspondence and Symmetry Breaking does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with AdS/CFT Correspondence and Symmetry Breaking, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and AdS/CFT Correspondence and Symmetry Breaking will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-696270