An exceptional algebraic origin of the AdS/CFT Yangian symmetry
An exceptional algebraic origin of the AdS/CFT Yangian symmetry
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DOI：
10.1088/1126-6708/2008/04/022
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发表时间：
2008-04-01
影响因子：
5.4
通讯作者：
Moriyama, Sanefumi
中科院分区：
文献类型：
--
作者：
Matsumoto, Takuya;Moriyama, Sanefumi
在由AdS/ CFT对应激发的su（2 vertical bar 2）自旋链中，发现了超代数su（2 vertical bar 2）到u（2 vertical bar 2）的一种新的对称性，并在例外超代数d（2，1; n）中寻找这种对称性的起源，当参数e取零时，它恢复了su（2 vertical bar 2）.特别地，我们利用例外超代数重新推导了AdS/ CFT自旋链的Yangian对称性，发现新的对称性对应于新的修正。此外，我们再现了非典型的经典的r-矩阵的AdS/ CFT自旋链表示与这种对称性从规范的例外代数。
In the su( 2 vertical bar 2) spin chain motivated by the AdS/ CFT correspondence, a novel symmetry extending the superalgebra su( 2 vertical bar 2) into u( 2 vertical bar 2) was found. We pursue the origin of this symmetry in the exceptional superalgebra d(2, 1; epsilon), which recovers su( 2 vertical bar 2) when the parameter e is taken to zero. Especially, we rederive the Yangian symmetries of the AdS/ CFT spin chain using the exceptional superalgebra and find that the epsilon- correction corresponds to the novel symmetry. Also, we reproduce the non- canonical classical r-matrix of the AdS/ CFT spin chain expressed with this symmetry from the canonical one of the exceptional algebra.