Excitations in strict 2-group higher gauge models of topological phases

Journal of High Energy Physics

Alex Bullivant¹  Clement Delcamp² 

[1] Department of Pure Mathematics, University of Leeds;Max-Planck-Institut für Quantenoptik;

关键词: Topological States of Matter;    Anyons;    Gauge Symmetry;   

DOI  :  10.1007/JHEP01(2020)107

来源: DOAJ

【 摘 要 】

Abstract We consider an exactly solvable model for topological phases in (3+1) d whose input data is a strict 2-group. This model, which has a higher gauge theory interpretation, provides a lattice Hamiltonian realisation of the Yetter homotopy 2-type topological quantum field theory. The Hamiltonian yields bulk flux and charge composite excitations that are either point-like or loop-like. Applying a generalised tube algebra approach, we reveal the algebraic structure underlying these excitations and derive the irreducible modules of this algebra, which in turn classify the elementary excitations of the model. As a further application of the tube algebra approach, we demonstrate that the ground state subspace of the three-torus is described by the central subalgebra of the tube algebra for torus boundary, demonstrating the ground state degeneracy is given by the number of elementary loop-like excitations.

【 授权许可】

Unknown