Holographic RG Flow on the Defect and g-Theorem

Details Holographic RG Flow on the Defect and g-Theorem Holographic RG Flow on the Defect and g-Theorem

2002-07-18

arxiv.org/abs/hep-th/0207171v3

JHEP 0210 (2002) 002

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, 5 figures. v2: corrected typos, added references, added the comment that the solution explained in section 2

Scientific paper

10.1088/1126-6708/2002/10/002

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.

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