Algebraic Curves for Factorized String Solutions

Abstract

We show how to construct an algebraic curve for factorized string solution in the context of the AdS/CFT correspondence. We define factorized solutions to be solutions where the flat-connection becomes independent of one of the worldsheet variables by a similarity transformation with a matrix $S$ satisfying $S^{-1}dS=const$. Using the factorization property we construct a well defined Lax operator and an associated algebraic curve. The construction procedure is local and does not require the introduction of a monodromy matrix. The procedure can be applied for string solutions with any boundary conditions. We study the properties of the curve and give several examples for the application of the procedure.

22 pages

References in corpus (4)

• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5

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