On the perturbative S-matrix of generalized sine-Gordon models

Abstract

Motivated by its relation to the Pohlmeyer reduction of AdS_5 x S^5 superstring theory we continue the investigation of the generalized sine-Gordon model defined by SO(N+1)/SO(N) gauged WZW theory with an integrable potential. Extending our previous work (arXiv:0912.2958) we compute the one-loop two-particle S-matrix for the elementary massive excitations. In the N = 2 case corresponding to the complex sine-Gordon theory it agrees with the charge-one sector of the quantum soliton S-matrix proposed in hep-th/9410140. In the case of N > 2 when the gauge group SO(N) is non-abelian we find a curious anomaly in the Yang-Baxter equation which we interpret as a gauge artifact related to the fact that the scattered particles are not singlets under the residual global subgroup of the gauge group.

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Cited by in corpus (23)

• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Two-dimensional S-matrices from unitarity cuts
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Integrable 2d sigma models: quantum corrections to geometry from RG flow
• Alleviating the non-ultralocality of coset sigma models through a generalized Faddeev-Reshetikhin procedure
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• A Relativistic Relative of the Magnon S-Matrix
• Classical and Quantum Solitons in the Symmetric Space Sine-Gordon Theories
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Non-abelian Toda theory on AdS${}_2$ and AdS${}_2$/CFT${}_2^{1/2}$ duality
• The Semi-Classical Spectrum of Solitons and Giant Magnons
• The Structure of Non-Abelian Kinks
• On the scattering of gluons in the GKP string
• Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
• Two-loop corrections to partition function of Pohlmeyer-reduced theory for AdS_5 x S^5 superstring
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• Generalized sine-Gordon models and quantum braided groups
• Unitarity methods for scattering in two dimensions
• Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories
• On bosonic Thirring model in Minkowski signature
• Novel aspects of integrability for NLSMs in symmetric spaces