Observables in U(1) n Chern–Simons theory

Source abstract

In this article, we will compute the expectation value of observables (which appear as Wilson loops) in 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.