The Structure of Non-Abelian Kinks

Abstract

We consider a class of integrable quantum field theories in 1+1 dimensions whose classical equations have kink solutions with internal collective coordinates that transform under a non-abelian symmetry group. These generalised sine-Gordon theories have been shown to be related to the world sheet theory of the string in the AdS/CFT correspondence. We provide a careful analysis of the boundary conditions at spatial infinity complicated by the fact that they are defined by actions with a WZ term. We go on to describe the local and non-local charges carried by the kinks and end by showing that their structure is perfectly consistent with the exact factorizable S-matrices that have been proposed to describe these theories.

41 pages, more typos corrected

References in corpus (11)

• Spinning strings and AdS/CFT duality
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Pohlmeyer reduction revisited
• On reduced models for superstrings on AdS_n x S^n
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• On the perturbative S-matrix of generalized sine-Gordon models
• The Semi-Classical Spectrum of Solitons and Giant Magnons

Cited by in corpus (11)

• An Integrable Deformation of the AdS5 x S5 Superstring
• Integrable Deformations of Strings on Symmetric Spaces
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models
• Integrable Lambda Models And Chern-Simons Theories
• Exploring The Lambda Model Of The Hybrid Superstring
• Symplectic Deformations of Integrable Field Theories and AdS/CFT
• Giant Magnons of String Theory in the Lambda Background
• Integrability of the $\lambda$-deformation of the PCM with spectators
• A generalized 4d Chern-Simons theory
• Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories