Knot theory and a physical state of quantum gravity

dc.creatorLiko, Tomas
dc.creatorKauffman, Louis H.
dc.date2005-05-09
dc.date2005-12-02
dc.date.accessioned2026-07-07T10:30:10Z
dc.date.available2026-07-07T10:30:10Z
dc.descriptionWe discuss the theory of knots, and describe how knot invariants arise naturally in gravitational physics. The focus of this review is to delineate the relationship between knot theory and the loop representation of non-perturbative canonical quantum general relativity (loop quantum gravity). This leads naturally to a discussion of the Kodama wavefunction, a state which is conjectured to be the ground state of the gravitational field with positive cosmological constant. This review can serve as a self-contained introduction to loop quantum gravity and related areas. Our intent is to make the paper accessible to a wider audience that may include topologists, knot-theorists, and other persons innocent of the physical background to this approach to quantum gravity.
dc.description37 pages, 4 figures; review paper; v2: typos corrected and references added; v3: extensively rewritten and corrected; introduction to conformal field theory added; Appendix D removed; version without Appendices B and C to appear in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/hep-th/0505069
dc.identifierhttp://arxiv.org/abs/hep-th/0505069
dc.identifierClass.Quant.Grav.23:R63-R90,2006
dc.identifierdoi:10.1088/0264-9381/23/4/R01
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178050
dc.subjectHigh Energy Physics - Theory
dc.titleKnot theory and a physical state of quantum gravity
dc.typetext

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