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.

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

References in corpus (2)

• Adding flavor to AdS/CFT
• Supersymmetric Defect Expansion in CFT from AdS Supertubes

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