Finding a dictionary between tensor models and crystallization theory

Grace Itunuoluwa Akinwande ()
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Grace Itunuoluwa Akinwande: AIMS, Senegal; and Universität Osnabrück

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 377-379 from Springer

Abstract: Abstract Crystallization theory has been useful in representing piecewise-linear (PL) manifolds in any dimension as D-regular edge-colored bipartite graphs. PL manifolds are of increasing interest to theoretical physicists as a tool to explore discretized versions of geometry in quantum gravity. We provide here a dictionary and compare quantities which have appeared in two contexts: in the so-called crystallizationtheory of simplicial manifolds (mathematics) and in colored tensor models which are simplicial models in view of providing a quantum version of general relativity (physics).

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_56

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DOI: 10.1007/978-3-319-69164-0_56

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