On Locality, Holography and Unfolding
نویسندگان
چکیده
We study the functional class and locality problems in the context of higher-spin theories and Vasiliev’s equations. A locality criterion that is sufficient to make higher-spin theories well-defined as field theories on Anti-de-Sitter space is proposed. This criterion identifies admissible pseudo-local field redefinitions which preserve AdS/CFT correlation functions as we check in the 3d example. Implications of this analysis for known higher-spin theories are discussed. We also check that the cubic coupling coefficients previously fixed in 3d at the action level give the correct CFT correlation functions upon computing the corresponding Witten diagrams.
منابع مشابه
Deconstruction and Holography
It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality is a manifestation of holography, encoding the correct scaling of the number of fundamental degrees of freedom of the UV theory. This in turn relates the Wils...
متن کاملThree principles of quantum gravity in the condensed matter approach
Research on quantum gravity (QG) has historically relied on appeals to guiding principles. This essay frames three such principles within the context of the condensed matter approach to QG. I first identify two distinct versions of this approach, and then consider the extent to which the principles of asymptotic safety, relative locality, and holography are supported by these versions. The gene...
متن کاملhep-th/yymmnnn A new mechanism for non-locality from string theory: UV-IR quantum entanglement and its imprints on the CMB
Puff field theories (PFT) arise as the decoupling limits of D3 branes in a Melvin universe and exhibit spatially non-local dynamics. Unlike other realizations of nonlocality in string theory, PFTs have full SO(3) rotational symmetry. In this work, we analyze the strongly coupled regime of a PFT through gravitational holography. We find a novel mechanism at the heart of the phenomenon of non-loc...
متن کاملA new mechanism for non-locality from string theory: UV-IR quantum entanglement and its imprints on the CMB
Puff field theories (PFT) arise as the decoupling limits of D3 branes in a Melvin universe and exhibit spatially non-local dynamics. Unlike other realizations of nonlocality in string theory, PFTs have full SO(3) rotational symmetry. In this work, we analyze the strongly coupled regime of a PFT through gravitational holography. We find a novel mechanism at the heart of the phenomenon of non-loc...
متن کاملCan nature possibly be as absurd as it seemed
A hardware implementation of the mathematical algorithm for quantum mechanics is outlined. This “high-tech” enterprise is based on “interactive holography”, an operational entourage that makes quantum mechanics a “normal” science. The holographic reference beam introduces an additional coordinate of phase leading to the description of states by the four-component vectors: |ψ>. Quantum mechanics...
متن کامل