The low energy limit of the AdS(3) x S(3) x M(4) spinning string

Abstract

We derive the low-energy effective action for the spinning (GKP) string in AdS(3) x S(3) x M(4) where M(4) = S(3) x S(1) or T(4). In the first case the action consists of two O(4) non-linear sigma models which are coupled through their interaction with four massless Majorana fermions (plus one free decoupled scalar). While in the second case it consists of one O(4) sigma model coupled to four Majorana fermions together with four free scalars from the T(4). We show that these models are classically integrable by constructing their Lax connections.

13 pages

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• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Classifying integrable symmetric space strings via factorized scattering
• Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3)
• All symmetric AdS(n>2) solutions of type II supergravity
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field