Abstract
The sigma model describing closed strings rotating in AdS3×S3 is known to reduce to the one-dimensional Neumann–Rosochatius integrable system. In this article we show that closed spinning strings in AdS3×S3×T4 in the presence of NS–NS three-form flux can be described by an extension of the Neumann–Rosochatius system. We consider closed strings rotating with one spin in AdS3 and two different angular momenta in S3. For a class of solutions with constant radii we find the dependence of the classical energy on the spin and the angular momenta as an expansion in the square of the 't Hooft coupling of the theory.
Highlights
Integrability has become a promising path towards a deeper understanding of the AdS/CFT correspondence
Later on it was shown that the Green– Schwarz action of type IIB strings with R–R three-form flux compactified on AdS3 × S3 × M4, where M4 is either T 4 or S3 × S1, is an integrable classical theory [7]
This is the problem that we will consider in this note for the case of closed strings rotating in AdS3 × S3 × M4 with NS–NS three-form flux
Summary
Integrability has become a promising path towards a deeper understanding of the AdS/CFT correspondence. Later on it was shown that the Green– Schwarz action of type IIB strings with R–R three-form flux compactified on AdS3 × S3 × M4, where M4 is either T 4 or S3 × S1, is an integrable classical theory [7] This observation has boosted the analysis of the AdS3/CFT2 correspondence using integrability inspired methods [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24] A natural question from the point of view of the AdS3/CFT2 correspondence is what is the extension of this description to backgrounds with non-vanishing fluxes This is the problem that we will consider in this note for the case of closed strings rotating in AdS3 × S3 × M4 with NS–NS three-form flux.
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