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.

40 pp, 1 fig. Update to match the published version

References in corpus (11)

• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• The 1/N expansion of colored tensor models
• Three Dimensional View of the SYK/AdS Duality
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• Correlators in tensor models from character calculus
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• Prismatic Large $N$ Models for Bosonic Tensors
• On Large $N$ Limit of Symmetric Traceless Tensor Models
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• From Kronecker to tableau pseudo-characters in tensor models

Cited by in corpus (7)

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• Conformal Symmetry and Composite Operators in the $O(N{)}^3$ Tensor Field Theory
• Tensorial generalization of characters
• $SO(3)$-invariant phase of the $O(N{)}^3$ tensor model
• 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