Holographic RG Flow on the Defect and g-Theorem
Abstract
We investigate relevant deformation and the renormalization group flow in a defect conformal field theory from the point of view of the holography. We propose a candidate of g-function in the context of the holography, and prove the g-theorem: the g-function is monotonically non-increasing along the RG flow. We apply this g-theorem to the D5-brane solution which is an asymptotically AdS_4 x S^2 brane in AdS_5 x S^5. This solution corresponds to the mass deformation of the defect CFT. We checked that the g-function is monotonically non-increasing in this solution.
Cite
@article{arxiv.hep-th/0207171,
title = {Holographic RG Flow on the Defect and g-Theorem},
author = {Satoshi Yamaguchi},
journal= {arXiv preprint arXiv:hep-th/0207171},
year = {2009}
}
Comments
15 pages, LaTeX, 5 figures. v2: corrected typos, added references, added the comment that the solution explained in section 2 appeared earlier in hep-th/0205236. v3: corrected typos, added another comment on section 2