# Algebraic Curves for Integrable String Backgrounds

Source: [Algebraic Curves for Integrable String Backgrounds](<https://www.sota2.com/research/paper/68fa2e8f1e209131ce863b9d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T16:59:00.920Z

Authors: K. Zarembo

Published: 2010-05-08T16:01:16.000Z

## Abstract

Many Ramond-Ramond backgrounds which arise in the AdS/CFT correspondence are described by integrable sigma-models. The equations of motion for classical spinning strings in these backgrounds are exactly solvable by finite-gap integration techniques. We review the finite-gap integral equations and algebraic curves for coset sigma-models, and then apply the results to the AdS(d+1) backgrounds with d=4,3,2,1.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1005.1342>)

[PDF](<https://arxiv.org/pdf/1005.1342.pdf>)