论文标题

关于在ADS_3和ADS_2中分解曲折

On factorising twists in AdS_3 and AdS_2

论文作者

Torrielli, Alessandro

论文摘要

在本文中,我们研究了无质量ADS_3和ADS_2的可分解曲线,并探讨了Maillet等人为普通旋转链开发的形式因素的分析程序。我们从GL(1 | 1)Yangian Double的通用R-Matrix中得出分解曲折,并讨论了两个位置单构基质的RTT关系。我们展示了如何使用扭曲来计算简单的标量产品。然后,我们用自由费米子的语言实施构造。最后,我们展示了如何从Yangian Universal R-Matrix获得无质量的ADS_2量子R-Matrix,并还计算了这种情况的特殊分解扭曲。

In this paper we study factorising twists of the massless AdS_3 and AdS_2 integrable R-matrices, and explore the programme of analysis of form factors which Maillet et al developed for ordinary spin-chains. We derive the factorising twists from the universal R-matrix of the gl(1|1) Yangian double, and discuss the RTT relations for the two- and three-site monodromy matrix. We show how the twist can be used to compute a simple scalar product. We then implement our construction in the language of free fermions. Finally, we show how to obtain the massless AdS_2 quantum R-matrix from the Yangian universal R-matrix, and compute a peculiar factorising twist for this case as well.

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