Bulk gauge fields and holographic RG from exact RG

A bstract Recently, a method was described for deriving Holographic RG equation in AdS D +1 space starting from an Exact RG equation of a D -dimensional boundary CFT [22]. The evolution operator corresponding to the Exact RG equation was rewritten as a functional integral of a D + 1 dimensional fiel...

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Bibliographic Details
Published in:The journal of high energy physics 2023-02, Vol.2023 (2), p.174-59, Article 174
Main Authors: Dharanipragada, Pavan, Dutta, Semanti, Sathiapalan, B.
Format: Article
Language:English
Subjects:
1/N Expansion
AdS-CFT Correspondence
Classical and Quantum Gravitation
Elementary Particles
Field theory
High energy physics
Holography
Operators (mathematics)
Perturbation
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
Scalars
String Theory
Tensors
Vector currents
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Summary:A bstract Recently, a method was described for deriving Holographic RG equation in AdS D +1 space starting from an Exact RG equation of a D -dimensional boundary CFT [22]. The evolution operator corresponding to the Exact RG equation was rewritten as a functional integral of a D + 1 dimensional field theory in AdS D +1 space. This method has since been applied to elementary scalars and composite scalars in the O ( N ) model [34]. In this paper, we apply this technique to the conserved vector current and the energy momentum tensor of a boundary CFT, the O ( N ) model at a fixed point. These composite spin one and spin two operators are represented by auxiliary fields and extend into the bulk as gauge fields and metric perturbations. We obtain, at the free level, the (gauge fixed) Maxwell and Einstein actions. While the steps involved are motivated by the AdS/CFT correspondence, none of the steps logically require the AdS/CFT conjecture for their justification.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2023)174