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arXiv · 1106.6016

Holonomy observables in Ponzano-Regge type state sum models

John W. Barrett·Frank Hellmann
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Abstract

We study observables on group elements in the Ponzano-Regge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to the well studied observables on the spin labels. We elucidate this interpretation by showing how they arise from the no-gravity limit of the Turaev-Viro model and Chern-Simons theory.

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John W. Barrett, Frank Hellmann. 2011-06-29. Holonomy observables in Ponzano-Regge type state sum models. https://doi.org/10.1088/0264-9381%2F29%2F4%2F045006

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