Wilson toroidal networks and torus blocks (Oct. 29, 2020)

  • Published: 2020-10-28

Time: 16:00 (UTC/GMT+08:00, Beijing/Shanghai), Oct. 29 (Thur.), 2020

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Speaker: Kostya Alkalaev (LPI & ITMP, Moscow)



We discuss the correspondence between Wilson line networks of the Chern-Simons 3d gravity theory  and large-c conformal blocks in torus 2d CFT. After general discussion that summarizes and further extends results known in the literature we explicitly obtain the 1-point torus block through  particular  matrix elements of toroidal Wilson network operators in sl(2) finite-dim irreps. The resulting expression is given in terms of 3j Wigner symbols.