Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-06-28
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures
Scientific paper
We examine the role of curved geometry on renormalization group by means of image compression based on the singular value decomposition. By calculating course-grained images and their entanglement entropy, we find the anti-de Sitter space / conformal field theory correspondence hidden in the compression. The correspondence is originated from the conservation law for information. We discuss how one particular metric is automatically induced from various images. A formula for resolution of the course-grained images is also derived.
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