Algebra of transfer-matrices and Yang–Baxter equations on the string worldsheet in AdS

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• 作者：Andrei Mikhailov ; Sakura Schä ; fer-Nameki
• 刊名：Nuclear Physics B
• 出版年：2008
• 出版时间：11 October 2008
• 年：2008
• 卷：802
• 期：1-2
• 页码：1-39
• 全文大小：647 K

文摘

Integrability of the string worldsheet theory in AdS₅×S⁵ is related to the existence of a flat connection depending on the spectral parameter. The transfer matrix is the open-ended Wilson line of this flat connection. We study the product of transfer matrices in the near-flat space expansion of the AdS₅×S⁵ string theory in the pure spinor formalism. The natural operations on Wilson lines with insertions are described in terms of r- and s-matrices satisfying a generalized classical Yang–Baxter equation. The formalism is especially transparent for infinite or closed Wilson lines with simple gauge invariant insertions.