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Tensor models and embedded Riemann surfaces · Around

2011

Tensor models and embedded Riemann surfaces

Ryan, James P.

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Tensor models and, more generally, group field theories are candidates for higher-dimensional quantum gravity, just as matrix models are in the 2d setting.

With the recent advent of a 1/N-expansion for coloured tensor models, more focus has been given to the study of the topological aspects of their Feynman graphs.
Crucial to the aforementioned analysis were certain subgraphs known as bubbles and jackets.
We demonstrate in the 3d case that these graphs are generated by matrix models embedded inside the tensor theory.

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