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**public sources and our publisher partners.**Abstract.We study the Yangians $${\text{Y}}(\mathfrak{a})$$ associated with the simple Lie algebras $$\mathfrak{a}$$ of type B, C or D. The algebra $${\text{Y}}(\mathfrak{a})$$ can be regarded as a… Expand

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters… Expand

We study a class of algebras B(n,l) associated with integrable models with boundaries. These algebras can be identified with coideal subalgebras in the Yangian for gl(n). We construct an analog of… Expand

We introduce two subalgebras in the type A quantum affine algebra which are coideals with respect to the Hopf algebra structure. In the classical limit q→1 each subalgebra specializes to the… Expand

We establish the exact solution of the nonlinear Schrodinger equation with a delta-function impurity, representing a pointlike defect which reflects and transmits. We solve the problem both at the… Expand

Abstract:We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite ?-algebras ?(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the… Expand

Abstract An explicit realization of the super W 3 (SW 3 ) algebra is performed using the coset construction (SU(3) 3 ⊗ SU(3) 1 )/SU(3) 4 . The corresponding value of c =10/7 is the only one for which… Expand

A bstractWe investigate a pattern in the α′ expansion of tree-level open superstring amplitudes which correlates the appearance of higher depth multiple zeta values with that of simple zeta values in… Expand

Using a superspace approach, it is proved that aN=1 Super-Toda theory can be seen as a constrained WZW model based on a supergroup. The gauge transformations which survive the constraints are then… Expand

We present an explicit representation for the matrix product ansatz for sometwo-species TASEP with open boundary conditions. The construction relies on theintegrability of the models, a property that… Expand