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- W2949209042 abstract "In this paper we consider solutions to the reflection equation related to the higher spin stochastic six vertex model. The corresponding higher spin $R$-matrix is associated with the affine quantum algebra $U_q(widehat{sl(2)})$. The explicit formulas for boundary $K$-matrices for spins $s=1/2,1$ are well known. We derive difference equations for the generating function of matrix elements of the $K$-matrix for any spin $s$ and solve them in terms of hypergeometric functions. As a result we derive the explicit formula for matrix elements of the $K$-matrix for arbitrary spin. In the lower- and upper- triangular cases, the $K$-matrix simplifies and reduces to simple products of $q$-Pochhammer symbols." @default.
- W2949209042 created "2019-06-27" @default.
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- W2949209042 date "2019-08-01" @default.
- W2949209042 modified "2023-10-17" @default.
- W2949209042 title "Boundary matrices for the higher spin six vertex model" @default.
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- W2949209042 doi "https://doi.org/10.1016/j.nuclphysb.2019.114665" @default.
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