28 June 2026 to 4 July 2026
Europe/Athens timezone

Emergent $\text{AdS}_{d+1}$ Geometry from Functional Renormalization Group in the Massless Critical Limit

30 Jun 2026, 12:15
45m

Speaker

Ki Seok Kim (POSTECH)

Description

We present a holographic dual description for the O(N) vector model in $d$-dimensional Euclidean space within the functional renormalization group (FRG) framework. By iterating Wilsonian renormalization group transformations, the extra-dimensional scale coordinate is identified as the radial direction of an emergent $(d+1)$-dimensional bulk spacetime. We construct a bidirectional holographic dictionary that maps non-perturbative fluctuations to the emergent bulk metric warping factors. Under the massless critical configuration, the emergent gravitational vacuum reduces to an Anti-de Sitter ($\text{AdS}_{d+1}$) geometry, satisfying the local energy conditions.

Author

Ki Seok Kim (POSTECH)

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