Aspects of Emergent Symmetries

Abstract

These are intended to be review notes on emergent symmetries, i.e., symmetries which manifest themselves in specific sectors of energy in many systems. The emphasis is on the physical aspects rather than computation methods. We include some background material and go through more recent problems in field theory, statistical mechanics and condensed matter. These problems illustrate how some important symmetries, such as Lorentz invariance and supersymmetry, usually believed to be fundamental, can arise naturally in low-energy regimes of systems involving a large number of degrees of freedom. The aim is to discuss how these examples could help us to face other complex and fundamental problems.

34 pages, 4 figures; Review paper; Title slightly modified; Minor improvements and typo corrections along the manuscript; References included; Accepted version

References in corpus (4)

• Quantum Gravity at a Lifshitz Point
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Quantum Spherical Spins with Local Symmetry

Cited by in corpus (7)

• A functional perspective on emergent supersymmetry
• On the radiative corrections in the Horava-Lifshitz z=2 QED
• Low-Energy Lorentz Invariance in Lifshitz Nonlinear Sigma Models
• The Ultraviolet and Infrared Behavior of an Abelian Proca Model From the Viewpoint of a One-Parameter Extension of the Covariant Heisenberg Algebra
• An UV Completion of Five Dimensional Scalar QED and Lorentz Symmetry
• Nonrelativistic Limit of Dirac Theory From Effective Field Theory
• Emergent SU(3) symmetry in a four leg spin tube