2019/11/30 by J. P. Ang, Konstantinos Roumpedakis, Sahand Seifnashri · 30 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #BRST quantization #Black Holes and Theoretical Physics #Consistency (knowledge bases) #Discrete mathematics #Gauge (firearms) #Gauge theory #Homogeneous space #Line (geometry) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Pure mathematics #Simple (philosophy) #Spin (aerodynamics) #Supersymmetric gauge theory #Theoretical physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep04(2020)087
published in Journal of High Energy Physics 2020(4) (Springer Nature) · 53
arxiv created 2020/02/12 · openalex publication_date 2020/04/01 · arxiv updated 2020/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract We study four-dimensional gauge theories on oriented and non-spin spacetime manifolds. On such manifolds, each line operator arises only either as a boson or a fermion. Based on physical arguments, a method of systematically assigning spin labels to line operators is proposed, and several consistency checks are performed. This is used to classify all possible sets of allowed line operators — including their spins — for gauge theories with simple Lie algebras. The Lagrangian descriptions of the theories with these sets of allowed line operators are given. Finally, the one-form symmetries of these theories are studied by coupling to background gauge fields, and their ’t Hooft anomalies are computed.