Defect Conformal Field Theory and Locally Localized Gravity

Details Defect Conformal Field Theory and Locally Localized Gravity Defect Conformal Field Theory and Locally Localized Gravity

2003-03-27

arxiv.org/abs/hep-th/0303249v2

JHEP 0307:030,2003

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, LaTeX, 5 figures. v2: typos fixed

Scientific paper

10.1088/1126-6708/2003/07/030

Gravity may be "locally localized" over a wide range of length scales on a d-dimensional anti-de Sitter (AdS) brane living inside AdS_{d+1}. In this paper we examine this phenomenon from the point of view of the holographic dual "defect conformal field theory". The mode expansion of bulk fields on the gravity side is shown to be precisely dual to the "boundary operator product expansion" of operators as they approach the defect. From the field theory point of view, the condition for localization is that a "reduced operator" appearing in this expansion acquires negative anomalous dimension. In particular, a very light localized graviton exists when a mode arising from the reduction of the ambient stress-energy tensor to the defect has conformal dimension Delta ~ d-1. The part of the stress tensor containing the defect dynamics has dimension Delta = d-1 in the free theory, but we argue that it acquires an anomalous dimension in the interacting theory, and hence does not participate in localization in the regime of small backreaction of the brane. We demonstrate that such an anomalous dimension is consistent with the conservation of the full stress-energy tensor. Finally, we analyze how to compute the anomalous dimensions of reduced operators from gravity at leading order in the interactions with the brane.

Affiliated with

Also associated with

No associations

Rating

Defect Conformal Field Theory and Locally Localized Gravity 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 Defect Conformal Field Theory and Locally Localized Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Defect Conformal Field Theory and Locally Localized Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638969