期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2020)121
关键词
AdS-CFT Correspondence; Chern-Simons Theories; Conformal and W Symmetry
资金
- RFBR [18-02-01024]
- Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
We consider the Wilson line networks of the Chern-Simons 3d gravity theory with toroidal boundary conditions which calculate global conformal blocks of degenerate quasi-primary operators in torus 2d CFT. After general discussion that summarizes and further extends results known in the literature we explicitly obtain the one-point torus block and two-point torus blocks through particular matrix elements of toroidal Wilson network operators in irreducible finite-dimensional representations of sl(2, ) algebra. The resulting expressions are given in two alternative forms using different ways to treat multiple tensor products of sl(2, ) representations: (1) 3mj Wigner symbols and intertwiners of higher valence, (2) totally symmetric tensor products of the fundamental sl(2, ) representation.
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