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    A large-NN tensor model with four supercharges

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    We study a supersymmetric tensor model with four supercharges and O(N)3O(N)^3 global symmetry. The model is based on a chiral scalar superfield with three indices and quartic tetrahedral interaction in the superpotential, which is relevant below three dimensions. In the large-NN limit the model is dominated by melonic diagrams. We solve the Dyson-Schwinger equations in superspace for generic dd and extract the dimension of the chiral field and the dimensions of bilinear operators transforming in various representations of O(N)3O(N)^3. We find that all operator dimensions are real and above the unitarity bound for 1<d<31<d<3. Our results also agree with perturbative results in 3ε3-\varepsilon expansion. Finally, we extract the large spin behaviour of bilinear operators and discuss the connection with lightcone bootstrap.Comment: 29 pages, 10 figure
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