2019/05/08 by Aamand, Nanna Havn · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1905.03263
It has been a long-standing problem how to relate Chern-Simons theory to the quantum groups. In this paper we recover the classical r-matrix directly from a 3-dimensional Chern-Simons theory with boundary conditions, thus creating a direct link to the quantum groups. It is known that the Jones polynomials can be constructed using an R-matrix. We show how these constructions can be seen to arise directly from 3-dimensional Chern-Simons theory.