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- W4285389930 abstract "We compute the invariants for a class of knots and links in arbitrary representations in ${S}^{3}/{mathbb{Z}}_{p}$ in the large $k$ (level), large $N$ (rank) limit, keeping $N/(k+N)=ensuremath{lambda}$ fixed, in $U(N)$ and $Sp(N)$ Chern-Simons theories. Using the relation between the saddle-point description and collective field theory, we first find that the invariants for the Hopf link and unknot are given by the on-shell collective field theory action. We next show that the results of these two invariants can be used to compute the invariants of other torus knots and links. We also discuss the large $N$ phase structure of the Hopf link invariant and observe that the same may admit a Douglas-Kazakov type phase transition depending on the choice of representations and $ensuremath{lambda}$." @default.
- W4285389930 created "2022-07-14" @default.
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- W4285389930 date "2022-07-14" @default.
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- W4285389930 title "Large <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>N</mml:mi></mml:math> correlators of Chern-Simons theory in lens spaces" @default.
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- W4285389930 doi "https://doi.org/10.1103/physrevd.106.025009" @default.
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