Bulk gauge fields and holographic RG from exact RG

Autor: Pavan Dharanipragada, Semanti Dutta, B. Sathiapalan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 2, Pp 1-59 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP02(2023)174
Popis: Abstract 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.
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