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Holographic RG Flow on the Defect and g-Theorem

Satoshi Yamaguchi1

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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 × S2 brane in AdS5 × 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.


Keywords

AdS-CFT and dS-CFT Correspondence

Brane Dynamics in Gauge Theories

D-branes

PACS

11.10.Hi Renormalization group evolution of parameters

11.25.Hf Conformal field theory, algebraic structures

11.25.Uv D branes

11.30.Pb Supersymmetry

Subjects

Particle physics and field theory

Dates

Issue 10 (October 2002)

Received 29 July 2002, accepted for publication 1 October 2002

Published 8 October 2002



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