The RTT realization for the deformed sl(2|2)?> Yangian

The RTT realization for the deformed sl(2|2)?> Yangian
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变形 sl(2|2) 的 RTT 实现?> Yangian

DOI:
10.1088/1751-8113/47/30/305201
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发表时间:
2014
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
M. de Leeuw
M. de Leeuw
中科院分区:
--
文献类型:
--
作者:
N. Beisert;M. de Leeuw

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在本文中,我们研究了 Hubbard 模型的 Yangian 代数和反德西特/共形场论对应关系的 RTT 实现。我们发现这个 Yangian 代数是一个非标准类型,其中 Yangian 的能级是混合的。实现这一点的关键特征是编织因子,它使余积变形并生成基础 sl(2|2)?> 李代数的中心扩展。在我们的 RTT 实现中,我们还能够纳入所谓的秘密对称性,并且能够将其扩展到更高的 Yangian 级别。最后,我们讨论了杨系中心和与交叉对称性相关的自同构。
In this paper we work out the RTT realization for the Yangian algebra of the Hubbard model and anti-de Sitter/conformal field theory correspondence. We find that this Yangian algebra is of a non-standard type in which the levels of the Yangian mix. The crucial feature that allows this is a braiding factor that deforms the coproduct and generates the central extensions of the underlying sl(2|2)?> Lie algebra. In our RTT realization we have also been able to incorporate the so-called secret symmetry and we were able to extend it to higher Yangian levels. Finally, we discuss the center of the Yangian and the automorphisms related to crossing symmetry.
AdS/CFT 可集成性回顾:概述
DOI: 10.1007/s11005-011-0529-2
发表时间: 2011
影响因子: 1.2
作者:
Beisert N
通讯作者: Beisert N