Our research group conducts cutting-edge research with a focus on symmetry, one of the fundamental principles of theoretical physics. Symmetry has played a central role across all areas of physics, and in recent years, various types of symmetries have been reformulated under the unified framework of generalized global symmetry [1412.5148]. These developments enable a more systematic analysis of symmetry structures in quantum field theory and contribute to proposing new conjectures and constraints on the structure of gauge theories.
In particular, we actively study a wide range of modern symmetry concepts, including higher-form symmetry, higher-group symmetry, and non-invertible symmetry. Using theoretical tools such as symmetry defect operators, we aim to precisely analyze how symmetries are realized in quantum field theory, how they are broken, and how anomaly phenomena arise.
Furthermore, based on a deep understanding of both continuous and discrete symmetries, we explore phenomenological applications in particle physics and cosmology, including axions, dark matter, and topological defects. Through innovative approaches that extend conventional notions of symmetry, we seek to pioneer new frontiers in modern theoretical physics and continuously investigate the connections between theory and phenomenology.