Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix

Abstract

The investigation of the q deformation of the S-matrix for excitations on the string world sheet in AdS5 x S5 is continued. We argue that due to the lack of Lorentz invariance the situation is more subtle than in a relativistic theory in that the nature of bound states depends on their momentum. At low enough momentum |p|<E the bound states transform in the anti-symmetric representation of the super-algebra symmetry and become the solitons of the Pohlmeyer reduced theory in the relativistic limit. At a critical momentum |p|=E they become marginally unstable, and at higher momenta the stable bound states are in the symmetric representation and become the familiar magnons in the string limit as q->1. This subtlety fixes a problem involving the consistency of crossing symmetry with the relativistic limit found in earlier work. With mirror kinematics, obtained after a double Wick rotation, the bound state structure is simpler and there are no marginally unstable bound states.

25 pages

References in corpus (7)

• On String S-matrix, Bound States and TBA
• String hypothesis for the AdS_5 x S^5 mirror
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• The Semi-Classical Spectrum of Solitons and Giant Magnons

Cited by in corpus (10)

• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• On deformations of AdS_n x S^n supercosets
• Integrable Deformations of Strings on Symmetric Spaces
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Spacetimes for λ-deformations
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• A Jordanian deformation of AdS space in type IIB supergravity
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• Exploring The Lambda Model Of The Hybrid Superstring
• Symplectic Deformations of Integrable Field Theories and AdS/CFT