Generalized Skein Relations from Chern-Simons Field Theory

Birmingham, Danny and Sen, Siddhartha (1990) Generalized Skein Relations from Chern-Simons Field Theory. (Preprint)

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Abstract

Using a variational approach based only on three dimensional properties of Chern-Simons theory, a skein relation for the expectation value of Wilson line operators in the adjoint representation of SU(2) is derived, in the large k limit. The result agrees with that obtained from RCFT. The generalization to arbitrary representations is then straighforward, once an important phase factor present in our example is understood.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:15
Last Modified:	15 Dec 2022 02:27
URI:	https://dair.dias.ie/id/eprint/766

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