Notes on tensor models and tensor field theories
Annales de l’Institut Henri Poincaré D, Tome 9 (2022) no. 1, pp. 159-218.
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Tensor models and tensor field theories admit a 1/N expansion and a melonic large N limit which is simpler than the planar limit of random matrices and richer than the large N limit of vector models. They provide examples of analytically tractable but non-trivial strongly coupled quantum field theories and lead to a new class of conformal field theories. We present a compact introduction to the topic, covering both some of the classical results in the field, like the details of the 1/N expansion, as well as recent developments. These notes are loosely bases on four lectures given at the Journées de physique mathématique Lyon 2019: Random tensors and SYK models.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/117
Classification : 81-XX, 00-XX
Mots-clés : Tensor field theory 
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Gurau, Razvan G. Notes on tensor models and tensor field theories. Annales de l’Institut Henri Poincaré D, Tome 9 (2022) no. 1, pp. 159-218. doi : 10.4171/aihpd/117. http://archive.numdam.org/articles/10.4171/aihpd/117/

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