On the algebraic curves for circular and folded strings in $\textrm{AdS}_5\times S^5$

D. Arnaudov; R. C. Rashkov; T. Vetsov

On the algebraic curves for circular and folded strings in $\textrm{AdS}_5\times S^5$

High Energy Physics - Theory 2015-09-09 v3

Authors: D. Arnaudov , R. C. Rashkov , T. Vetsov

Abstract

There have been recent advances in the construction of algebraic curves for certain classes of string solutions in the context of the AdS/CFT correspondence. In this paper we obtain the Lax operators and associated spectral curves for circular and folded string solutions in $\,\textrm{AdS}_5\times S^5$ . In addition, we provide an original approach for the reconstruction of string solutions in $\,S^3$ from their corresponding curves.

Keywords

algebraic curves AdS/CFT correspondence Lax operators spectral curves circular strings folded strings string solutions

Cite

@article{arxiv.1311.6114,
  title  = {On the algebraic curves for circular and folded strings in $\textrm{AdS}_5\times S^5$},
  author = {D. Arnaudov and R. C. Rashkov and T. Vetsov},
  journal= {arXiv preprint arXiv:1311.6114},
  year   = {2015}
}

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19 pages, no figures, references added

On the algebraic curves for circular and folded strings in $\textrm{AdS}_5\times S^5$

Abstract

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