This article is cited in 4 papers

Algebraic curves for integrable string backgrounds

K. Zarembo<sup>abc

a</sup> Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden
^b CNRS – Laboratoire de Physique Théorique, Ecole Normale Supérieure, Paris, France
^c Institute for Theoretical and Experimental Physics, Moscow, Russia

Abstract: 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 $\mathbb Z_4$ cosets and then exemplified by the backgrounds that arise in the AdS$_5$/CFT$_4$, AdS$_4$/CFT$_3$ and AdS$_3$/CFT$_2$ dualities.

Received in April 2010

Language: English

 English version: Proceedings of the Steklov Institute of Mathematics, 2011, 272, 275–287

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