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arXiv · 2603.08632

Observables in $\mathrm{U}(1)^n$ Chern-Simons theory

Michail Tagaris·Frank Thuillier
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Abstract

In this article, we will compute the expectation value of observables (which appear as Wilson loops) in $\mathrm{U}(1)^n$ Chern-Simons theory for closed oriented $3$-manifolds. We will show how the various topological sectors of the observable affect the expectation value and confirm that it is a topological invariant. We will also exhibit in this case as well a form of the CS duality introduced in previous works. Finally, to complete the treatment of this theory, we will compute its zero modes and the equations of motion.

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Michail Tagaris, Frank Thuillier. 2026-03-09. Observables in $\mathrm{U}(1)^n$ Chern-Simons theory. https://arxiv.org/abs/2603.08632

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