Algebraic curves for integrable string backgrounds

作者：Zarembo K^*

来源：Proceedings of the Steklov Institute of Mathematics, 2011, 272(1): 275-287.

DOI：10.1134/S0081543811010263

Many Ramond-Ramond backgrounds that arise in the AdS/CFT correspondence are described by integrable sigma-models. The equations of motion for classical spinning strings in these backgrounds can be solved quite generally by the finite-gap integration method via classical Bethe equations and algebraic curves. This construction is reviewed for general Z(4) cosets and then exemplified by the backgrounds that arise in the AdS(5)/CFT4, AdS(4)/CFT3 and AdS(3)/CFT2 dualities.

• 出版日期2011-4