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arXiv · 1706.02667

Orthogonal Bases of Invariants in Tensor Models

Pablo Diaz·Soo-Jong Rey
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Abstract

Representation theory provides a suitable framework to count and classify invariants in tensor models. We show that there are two natural ways of counting invariants, one for arbitrary rank of the gauge group and a second, which is only valid for large N. We construct bases of invariant operators based on the counting, and compute correlators of their elements. The basis associated with finite N diagonalizes the two-point function of the theory and it is analogous to the restricted Schur basis used in matrix models. We comment on future lines of investigation.

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Pablo Diaz, Soo-Jong Rey. 2017-06-15. Orthogonal Bases of Invariants in Tensor Models. https://doi.org/10.1007/jhep02(2018)089

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