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arXiv · hep-th/0207171

Holographic RG Flow on the Defect and g-Theorem

Satoshi Yamaguchi
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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.

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Satoshi Yamaguchi. 2002-07-29. Holographic RG Flow on the Defect and g-Theorem. https://doi.org/10.1088/1126-6708%2F2002%2F10%2F002

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