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Online Workshop "Frontiers of Holographic Duality-5"
December 7, 2023 16:00, Moscow, Steklov Mathematical Institute, online

Wilson networks in AdS and global conformal blocks

V. Khiteev

P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow



Abstract: I will tell about Wilson networks in AdS$_2$ constructed from Wilson lines and cap states. Cap states regulate the boundary behaviour of Wilson line operators and by imposing right restrictions on cap states one can obtain the global conformal block at the boundary of the AdS$_2$. I will show how to find cap states and obtain dictionary relation between Wilson networks and global conformal blocks. Then I will tell about calculation of the $n$-point global conformal block in the comb channel.

Language: English

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