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arXiv · 1911.00589

Line Operators of Gauge Theories on Non-Spin Manifolds

J. P. Ang·Konstantinos Roumpedakis·Sahand Seifnashri
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Abstract

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.

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J. P. Ang, Konstantinos Roumpedakis, Sahand Seifnashri. 2019-11-01. Line Operators of Gauge Theories on Non-Spin Manifolds. https://doi.org/10.1007/jhep04(2020)087

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