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Reshetikhin-Turaev construction and U(1)n Chern-Simons partition function

2025/07/11 by Tagaris, Michail, Thuillier, Frank
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2507.08587

Abstract

In this article, we show that the U(1)n Chern-Simons partition functions are related to Reshetikhin-Turaev invariants. In this abelian context, it turns out that the Reshetikhin-Turaev construction that yields these invariants relies on a ``twisted" category rather than a modular one. Furthermore, the Chern-Simons duality of the U(1)n partition functions straightforwardly extend to the corresponding Reshetikhin-Turaev invariants.

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