CS-Duality, RT Construction and Observables in U(1)^n Chern-Simons Theory
Vortrag von Michail Tagaris
Sprecher eingeladen von: Prof. Dr. Alberto Cattaneo
Datum: 22.09.25 Zeit: 13.30 - 14.30 Raum: Y27H25
Ιn this talk, I will address the problem of defining and computing the U(1)^n Chern–Simons (CS) partition function on closed, oriented 3-manifolds in a fully gauge-invariant framework. In contrast to usual approaches, we do not gauge fix. Instead, using the tools of Deligne–Beilinson cohomology, which naturally incorporates both differential and topological data, we work on the gauge classes of connections. By applying the reciprocity formulas of Deloup and Turaev, I will establish the so-called CS duality and demonstrate its relation to a Reshetikhin–Turaev topological invariant. Finally, I define Wilson loop observables within this framework and compute their expectation values, completing a fully consistent treatment of the theory in the closed manifold case.