Abstract
We exhibit a duality of primary fields, conformal dimensions, braid matrices, and modular transformation matrix elements S 0, λ / S 0,0 (so also Weyl characters) for sequences of dual pairs (SU ( N) K , SU( K) N ), (SO( N) K , (SO( N) K , SO( K) N ) and Sp( N) K , Sp( K) N . As a consequence an analogous duality of Chern-Simons skein relations and Wilson line observables is uncovered.
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