Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)

Understand

Integrability of the string worldsheet theory in AdS(5) x S(5) 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 AdS(5) x S(5) 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.