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Boundary S-matrix of the $O(N)$-symmetric Non-linear Sigma Model
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abstract
We conjecture that the $O(N)$-symmetric non-linear sigma model in the semi-infinite $(1+1)$-dimensional space is ``integrable'' with respect to the ``free'' and the ``fixed'' boundary conditions. We then derive, for both cases, the boundary S-matrix for the reflection of massive particles of this model off the boundary at $x=0$.
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Cited by 1 Pith paper
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String Integrability on the Coulomb Branch
A dynamical, spectral-parameter-dependent reflection matrix is constructed for strings ending on the Coulomb-branch D3-brane, proving classical integrability of the boundary sigma-model.
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