Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry

DOI10.1142/S0129055X20500117zbMath1444.81036arXiv1702.00868WikidataQ127153052 ScholiaQ127153052MaRDI QIDQ5128723

Zoltan Kadar, Alex Bullivant, João Faria Martins, Marcos Calçada, Paul P. Martin

Publication date: 25 October 2020

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00868

zbMATH Keywords

lattice gauge theorycrossed modulesurface holonomytopological quantum field theoryhigher gauge theorytopological phasestopological quantum computingKitaev model

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Topological quantum field theories (aspects of differential topology) (57R56) Issues of holonomy in differential geometry (53C29)

Related Items

Algebraic formulation of higher gauge theory, Excitations in strict 2-group higher gauge models of topological phases, Drinfel'd double symmetry of the 4d Kitaev model, Dynamics of a lattice 2-group gauge theory model, Novel quantum phases on graphs using abelian gauge theory, Dynamical generalization of Yetter's model based on a crossed module of discrete groups, On a canonical lift of Artin's representation to loop braid groups, On 2-form gauge models of topological phases

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