Holographic trace anomaly and local renormalization group
Author(s)
Stergiou, Andreas; Rajagopal, Srivatsan; Zhu, Elton
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The Hamilton-Jacobi method in holography has produced important results both at a renormalization group (RG) fixed point and away from it. In this paper we use the Hamilton-Jacobi method to compute the holographic trace anomaly for four- and six-dimensional boundary conformal field theories (CFTs), assuming higher-derivative gravity and interactions of scalar fields in the bulk. The scalar field contributions to the anomaly appear in CFTs with exactly marginal operators. Moving away from the fixed point, we show that the Hamilton-Jacobi formalism provides a deep connection between the holographic and the local RG. We derive the local RG equation holographically, and verify explicitly that it satisfies Weyl consistency conditions stemming from the commutativity of Weyl scalings. We also consider massive scalar fields in the bulk corresponding to boundary relevant operators, and comment on their effects to the local RG equation.
Date issued
2015-11Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of PhysicsJournal
Journal of High Energy Physics
Publisher
Springer/SISSA
Citation
Rajagopal, Srivatsan, Andreas Stergiou, and Yechao Zhu. “Holographic Trace Anomaly and Local Renormalization Group.” J. High Energ. Phys. 2015, no. 11 (November 2015).
Version: Final published version
ISSN
1029-8479
1126-6708