RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences Category Theoretical Physics RIKEN ECL Research Unit
RIKEN ECL Unit Leader: Kantaro Ohmori (Ph.D.)
Research Summary
We study and exploit quantum field theory, the universal framework underlying physics from particle physics to condensed matter and quantum information, using mathematical structures such as category theory and higher algebra. Building on the recently discovered generalized and non-invertible symmetries, we develop a systematic framework that translates desired macroscopic behaviors of matter into the microscopic quantum models that realize them. Combined with tensor networks and lattice models, our aim is an "algebraic calculus" that guides the design and simulation of quantum systems with desired properties.
Main Research Fields
- Mathematical & Physical Sciences
Related Research Fields
- Interdisciplinary Science & Engineering
- Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
- Mathematical physics and fundamental theory of condensed matter physics-related
- Algebra-related
Keywords
- Quantum field theory
- Generalized symmetry
- Higher category theory
- Topological phases and lattice models
- Tensor networks
Selected Publications
Papers with an asterisk(*) are based on research conducted outside of RIKEN.
- 1.
*Kaidi, J., Ohmori, K., and Zheng, Y.:
"Kramers-Wannier-like Duality Defects in (3+1)D Gauge Theories"
Phys. Rev. Lett. 128, 111601 (2022). - 2.
*Cordova, C., and Ohmori, K.:
"Noninvertible Chiral Symmetry and Exponential Hierarchies"
Phys. Rev. X 13, 011034 (2023). - 3.
*Cordova, C., Hong, S., Koren, S., and Ohmori, K.:
"Neutrino Masses from Generalized Symmetry Breaking"
Phys. Rev. X 14, 031033 (2024). - 4.
*Inamura, K., and Ohmori, K.:
"Fusion Surface Models: 2+1d Lattice Models from Fusion 2-Categories"
SciPost Phys. 16, 143 (2024).
Related Links
Lab Members
Principal investigator
- Kantaro Ohmori
- RIKEN ECL Unit Leader
Contact Information
Main Research Building
2-1 Hirosawa, Wako, Saitama
351-0198 Japan
Email: kantaro.omori@riken.jp