2024/05/24 by Ando, Takamasa · 2 citations
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2405.15648
We explore topological manipulations in one spatial dimension, which are defined for a system with a global symmetry and map the system to another one with a dual symmetry. In particular, we discuss fusion category symmetries enhanced by the invariance of the actions of topological manipulations, i.e., self-G-alities for topological manipulations. Based on the self-G-ality conditions, we provide LSM-type constraints on the ground states of many-body Hamiltonians. We clarify the relationship between different enhanced symmetries and introduce the notion of codimension-two transitions. We explore concrete lattice models for such self-G-alities and find how the self-G-ality structures match the IR critical theories.