2002/07/29 by Satoshi Yamaguchi · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2002/10/002
published as JHEP 0210 (2002) 002 · 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
arxiv created 2002/07/29 · arxiv updated 2009/11/30
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 AdS4 x S2 brane in AdS5 x S5. This solution corresponds to the mass deformation of the defect CFT. We checked that the g-function is monotonically non-increasing in this solution.