Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-31
JHEP 0812:103,2008
Physics
High Energy Physics
High Energy Physics - Theory
26 pages. LaTeX. v2: reference added. version to appear in JHEP
Scientific paper
10.1088/1126-6708/2008/12/103
We analyze the structure of the UV divergences of the Wilson loop for a general gauge/gravity duality. We find that, due to the presence of a nontrivial NSNS B-field and metric, new divergences that cannot be subtracted out by the conventional Legendre transform may arise. We also derive conditions on the B-field and the metric, which when satisfied, the leading UV divergence will become linear, and can be cancelled out by choosing the boundary condition of the string appropriately. Our results, together with the recent result of arXiv:0807.5127, where the effect of a nontrivial dilaton on the structure of UV divergences in Wilson loop is analysed, allow us to conclude that Legendre transform is at best capable of cancelling the linear UV divergences arising from the area of the worldsheet, but is incapable to handle the divergences associated with the dilaton or the B-field in general. We also solve the conditions for the cancellation of the leading linear divergences generally and find that many well-known supergravity backgrounds are of these kinds, including examples such as the Sakai-Sugimoto QCD model or N=1 duality with Sasaki-Einstein spaces. We also point out that Wilson loop in the Klebanov-Strassler background have a divergence associated with the B-field which cannot be cancelled away with the Legendre transform. Finally we end with some comments on the form of the Wilson loop operator in the ABJM superconformal Chern-Simons theory.
Chu Chong-Sun
Giataganas Dimitrios
No associations
LandOfFree
UV-divergences of Wilson Loops for Gauge/Gravity Duality 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 UV-divergences of Wilson Loops for Gauge/Gravity Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and UV-divergences of Wilson Loops for Gauge/Gravity Duality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-457318