Entropic Order Parameters for Categorical Symmetries in 2D-CFT
Author Information
Author(s): Javier Molina-Vilaplana, Pablo Saura-Bastida, Germán Sierra
Primary Institution: Universidad Politécnica de Cartagena
Hypothesis
Can an information theoretic order parameter characterize the presence and breaking of categorical symmetries in (1+1)-d rational conformal field theories?
Conclusion
The study finds that the relative entropy only depends on the expectation values of the quantum dimensions of the topological operators implementing the categorical symmetry.
Supporting Evidence
- The relative entropy serves as an order parameter for symmetry breaking in categorical symmetries.
- The results suggest that the proposed order parameter can characterize different broken phases of 2D theories.
Takeaway
This study looks at how certain mathematical tools can help us understand different phases of matter in physics, especially when symmetries are involved.
Methodology
The study computes the quantum relative entropy between the ground states of rational conformal field theories representing critical points of phase transitions.
Digital Object Identifier (DOI)
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