2-categorical Poincare Representations and State Sum Applications

Simple item page
dc.creatorCrane, L.
dc.creatorSheppeard, M. D.
dc.date2003-06-30
dc.date.accessioned2026-07-07T04:59:19Z
dc.date.available2026-07-07T04:59:19Z
dc.descriptionThis is intended as a self-contained introduction to the representation theory developed in order to create a Poincare 2-category state sum model for Quantum Gravity in 4 dimensions. We review the structure of a new representation 2-category appropriate to Lie 2-group symmetries and discuss its application to the problem of finding a state sum model for Quantum Gravity. There is a remarkable richness in its details, reflecting some desirable characteristics of physical 4-dimensionality. We begin with a review of the method of orbits in Geometric Quantization, as an aid to the intuition that the geometric picture unfolded here may be seen as a categorification of this process.
dc.description16 pages, 1 figure, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0306440
dc.identifierhttp://arxiv.org/abs/math/0306440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67936
dc.subjectQuantum Algebra
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectCategory Theory
dc.title2-categorical Poincare Representations and State Sum Applications
dc.typetext

Files

Collections

arXiv