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International Conference "Fields & Strings 2024"
February 8, 2024 13:05, Moscow, Steklov Mathematical Institute


Wilson networks in AdS and global conformal blocks

Vladimir Khiteev, K. B. Alkalaev

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



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Abstract: I will tell about Wilson networks in $\mathrm{AdS}_2$ 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 $\mathrm{AdS}_2$. 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


© Steklov Math. Inst. of RAS, 2024