Yang's Quantized Space-time Algebra and Holographic Hypothesis

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dc.creatorTanaka, Sho
dc.date2003-03-12
dc.date.accessioned2026-07-07T04:14:58Z
dc.date.available2026-07-07T04:14:58Z
dc.descriptionThe present-day significance of Yang's quantized space-time algebra (YST) is pointed out from the holographic viewpoint. One finds that the D-dimensional YST and its modified version (MYST) have the background symmetry SO(D+1,1) and SO(D,2), which are well known to underlie the dS/CFT and AdS/CFT correspondences, respectively. This fact suggests a new possibility of dS/YST and AdS/MYST in parallel with dS/CFT and AdS/CFT, respectively. The spatial components of quantized space-time and momentum operators of YST have discrete eigenvalues and their respective minimums, $a$ and 1/R, without contradiction to Lorentz-covariance. With respect to MYST, the spatial components of space-time operators and the time component (energy) of momentum operators have discrete eigenvalues and their respective minimums, $a$ and 1/R, in contrast to YST. This discrete structure of YST and MYST, which CFT lacks entirely, may provide a theoretical ground for the unified regularization or cutoff of ultraviolet and infrared divergences familiar in the UV/IR connection in the holographic hypothesis.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0303105
dc.identifierhttp://arxiv.org/abs/hep-th/0303105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51841
dc.subjectHigh Energy Physics - Theory
dc.titleYang's Quantized Space-time Algebra and Holographic Hypothesis
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