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On the Holographic Renormalization Group

9 Pith papers cite this work. Polarity classification is still indexing.

9 Pith papers citing it
abstract

We propose a direct correspondence between the classical evolution equations of 5-d supergravity and the renormalization group (RG) equations of the dual 4-d large $N$ gauge theory. Using standard Hamilton-Jacobi theory, we derive first order flow equations for the classical supergravity action $S$, that take the usual form of the Callan-Symanzik equations, including the corrections due to the conformal anomaly. This result gives direct support for the identification of $S$ with the quantum effective action of the gauge theory. In addition we find interesting new relations between the beta-functions and the counterterms that affect the 4-d cosmological and Newton constant.

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Holographic Banners

hep-th · 2026-04-02 · unverdicted · novelty 8.0

Holographic banners are four-argument on-shell actions that map thermofield double boundary states to future interior semiclassical states and yield BKL mixing timescales in AdS black holes.

Covariant unification of holographic c-functions

hep-th · 2026-05-18 · unverdicted · novelty 7.0

A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-geometry string backgrounds.

Holographic $SO(2,d)$ anomaly

hep-th · 2021-05-31 · unverdicted · novelty 4.0

The authors establish the descendant structure of the holographic SO(2,d) anomaly and construct the associated characteristic class, bulk Chern-Simons-like action, boundary effective action, and anomalous conservation laws in covariant and consistent forms.

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