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Wilson Loop Invariants from $W_N$ Conformal Blocks | | Oleg Alekseev
; Fábio Novaes
; | | Date: |
22 May 2015 | | Abstract: | Knot and link polynomials are topological invariants calculated from the
expectation value of loop operators in topological field theories. In 3D
Chern-Simons theory, these invariants can be found from crossing and braiding
matrices of four-point conformal blocks of the boundary 2D CFT. We calculate
crossing and braiding matrices for $W_N$ conformal blocks with one component in
the fundamental representation and another in a rectangular representation of
$SU(N)$, which can be used to obtain HOMFLY knot and link invariants for these
cases. We also discuss how our approach can be generalized to invariants in
higher-representations of $W_N$ algebra. | | Source: | arXiv, 1505.6221 | | Services: | Forum | Review | PDF | Favorites | |
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