Progress on Holographic Three-Point Functions
Wolfgang Mueck

TL;DR
This paper reviews a gauge-invariant formalism for analyzing fluctuations in holographic RG flows, demonstrating its application to compute glueball scattering amplitudes and uncover selection rules.
Contribution
It introduces a gauge-invariant approach to holographic RG flows and applies it to calculate scattering amplitudes and identify selection rules in the GPPZ flow.
Findings
Calculated glueball scattering amplitudes in GPPZ flow
Discovered selection rules for scattering processes
Validated the formalism's effectiveness in holographic RG analysis
Abstract
The recently developed gauge-invariant formalism for the treatment of fluctuations in holographic renormalization group (RG) flows overcomes most of the previously encountered technical difficulties. I summarize the formalism and present its application to the GPPZ flow, where scattering amplitudes between glueball states have been calculated and a set of selection rules been found.
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