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.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
