Spontaneous Symmetry Breaking in Tensor Theories

Abstract

In this work we study spontaneous symmetry breaking patterns in tensor models. We focus on the patterns which lead to effective matrix theories transforming in the adjoint of $U(N)$. We find the explicit form of the Goldstone bosons which are organized as matrix multiplets in the effective theory. The choice of these symmetry breaking patterns is motivated by the fact that, in some contexts, matrix theories are dual to gravity theories. Based on this, we aim to build a bridge between tensor theories, quantum gravity and holography.

arXiv comment40 pp, 1 fig. Update to match the published version

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• Near Conformal Perturbation Theory in SYK Type Models
• Cut-and-join operators and Macdonald polynomials from the 3-Schur functions
• Backgrounds from Tensor Models: A Proposal