Related Experiment Video
Updated: Jan 27, 2026

Whole-Kidney Three-Dimensional Staining with CUBIC
Published on: July 18, 2022
Emergent SO(5) Symmetry at the Columnar Ordering Transition in the Classical Cubic Dimer Model
G J Sreejith1, Stephen Powell2, Adam Nahum3
1Indian Insitute for Science Education and Research, Pune 411008, India.
The cubic dimer model exhibits a unique phase transition with emergent SO(5) symmetry, linking distinct phases like columnar crystal and dimer liquid. This symmetry, observed in simulations, offers insights into quantum critical phenomena.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- The classical cubic-lattice dimer model presents an unconventional phase transition.
- This transition shares universality with deconfined quantum critical points in spin-1/2 antiferromagnets.
Purpose of the Study:
- Investigate the emergent symmetry of the cubic-lattice dimer model's phase transition.
- Explore the relationship between the columnar crystal and dimer liquid phases.
Main Methods:
- Utilized Monte Carlo simulations to study the model.
- Analyzed systems with linear sizes up to L=96.
Main Results:
- Identified emergent SO(5) symmetry at the phase transition.
- Demonstrated that SO(5) relates the conventional order parameter of the low-temperature phase to the deconfinement of monomers in the high-temperature phase.
- Observed that the SO(5) symmetry precision improves with increasing system size.
Conclusions:
- The emergent SO(5) symmetry in the cubic dimer model provides evidence for its generality, as proposed for the noncompact CP^{1} field theory.
- Results suggest a renormalization-group flow structure where SO(5) might be a near-symmetry.
More Related Videos
11:37Generation of Aggregates of Mouse Embryonic Stem Cells that Show Symmetry Breaking, Polarization and Emergent Collective Behaviour In Vitro
Published on: November 24, 2015
09:09Preparation and Delivery of Protein Microcrystals in Lipidic Cubic Phase for Serial Femtosecond Crystallography
Published on: September 20, 2016
Related Concept Videos
Phase Transitions
Cooperative Allosteric Transitions
Classical Conditioning
Ivan Pavlov observed that dogs...
Gauss's Law: Planar Symmetry
Emerging Adulthood
Properties of Transition Metals