Non-perturbative defects in tensor models from melonic trees

A bstract The Klebanov-Tarnopolsky tensor model is a quantum field theory for rank-three scalar fields with certain quartic potential. possesses an unusual large N limit known as the melonic that strongly coupled yet solvable, producing at distance rare example of non-perturbative non-supersymmetric conformal admits analytic solutions. We study dynamics defects in defined by localized magnetic couplings on p -dimensional subspace d spacetime. While we work general and , physically interesting cases include line = 2 3 surface 3. By identifying novel generalizes presence defects, prove defect one-point function only receives contributions from subset Feynman diagrams shape trees. These can be resummed using closed Schwinger-Dyson equation which enables us to determine non-perturbatively this function. At distance, solutions find describe nontrivial discuss their renormalization group (RG) flows. In particular, solve exact RG flow between trivial lines 4 ? ? . also compute entropy verify g -theorem. Furthermore analyze two-point its decomposition via operator-product-expansion, providing explicit formulae functions bilinear operators stress-energy tensor.