Yukawa textures from non-invertible symmetries
Tatsuo Kobayashi, Hajime Otsuka, Morimitsu Tanimoto
Abstract
A bstract Phenomenological aspects of non-invertible symmetries, in particular the flavor structure of quarks and leptons, are studied. We start with a ℤ M discrete symmetry and gauge ℤ 2 so as to obtain a non-invertible symmetry. We study which Yukawa textures can be derived from the non-invertible symmetries. Various textures can be realized and some of them cannot be realized by a conventional symmetry. For example, the nearest neighbor interaction texture as well as other interesting textures of quarks and leptons are obtained.
Topics & Concepts
PhysicsYukawa potentialHomogeneous spaceInvertible matrixTheoretical physicsParticle physicsMathematical physicsQuantum mechanicsGeometryMathematicsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesCosmology and Gravitation Theories