We study the fused currents of the deformed Virasoro algebra. By constructing a homotopy operator we show that for special values of the parameter of the algebra fused currents pairwise coincide on the cohomologies of the Felder resolution. Within the algebraic approach to lattice models these currents are known to describe neutral excitations of the solid-on-solid (SOS) models in the transfer-matrix picture. It allows us to prove the closeness of the system of excitations for a special nonunitary series of restricted SOS models. Though the results of the algebraic approach to lattice models were consistent with the results of other methods, the lack of such proof had been an essential gap in its construction.

中文翻译：

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格模型，变形的Virasoro代数和约化方程

我们研究变形的Virasoro代数的融合电流。通过构造同伦算子，我们证明了对于代数参数的特殊值，融合电流成对地与费尔德分辨率的同调性重合。在网格模型的代数方法中，已知这些电流描述了传递矩阵图片中固体对固体（SOS）模型的中性激发。它使我们能够为特殊的非单一系列受限SOS模型证明激励系统的接近性。尽管代数方法对格模型的结果与其他方法的结果一致，但缺乏此类证明一直是其构造中的重要空白。