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Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
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Motivated by the close connection of tensor models to the SYK model, we use representation theory to construct the complete set of gauge invariant observables for bosonic and fermionic tensor models. Correlation functions of the gauge invariant operators in the free theory are computed exactly. The gauge invariant operators close a ring. The structure constants of the ring are described explicitly. Finally, we construct a collective field theory description of the bosonic tensor model.
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Correlators in two rainbow tensor and complex multi-matrix models
Two multi-tensor rainbow models are built via W-representations, and their correlators are computed exactly both from colored Dessins and from W-operators.
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