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- W4306703447 abstract "We present a conjecture for the crossing symmetry rules for Chern-Simons gauge theories interacting with massive matter in $2+1$ dimensions. Our crossing rules are given in terms of the expectation values of particular tangles of Wilson lines, and reduce to the standard rules at large Chern-Simons level. We present completely explicit results for the special case of two fundamental and two antifundamental insertions in $SU(N)_k$ and $U(N)_k$ theories. These formulae are consistent with the conjectured level-rank, Bose-Fermi duality between these theories and take the form of a $q=e^{frac{ 2 pi i }{kappa}}$ deformation of their large $k$ counterparts. In the 't Hooft large $N$ limit our results reduce to standard rules with one twist: the $S$-matrix in the singlet channel is reduced by the factor $frac{sin pi lambda}{pi lambda} $ (where $lambda$ is the 't Hooft coupling), explaining `anomalous' crossing properties observed in earlier direct large $N$ computations." @default.
- W4306703447 created "2022-10-19" @default.
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- W4306703447 date "2022-10-13" @default.
- W4306703447 modified "2023-09-30" @default.
- W4306703447 title "Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$" @default.
- W4306703447 doi "https://doi.org/10.4310/atmp.2023.v27.n1.a5" @default.
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