Spontaneous Symmetry Breaking in Tensor Theories

TL;DR

This paper investigates spontaneous symmetry breaking in tensor models, revealing how certain patterns lead to effective matrix theories with potential applications in quantum gravity and holography.

Contribution

It explicitly characterizes symmetry breaking patterns in tensor models that produce matrix theories and identifies the associated Goldstone bosons, linking tensor theories to gravity duals.

Findings

Explicit form of Goldstone bosons as matrix multiplets

Identification of symmetry breaking patterns leading to matrix theories

Potential connections to quantum gravity and holography

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.