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arXiv 1502.03684hep-th
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含PSU的自旋链(2| 2)xU(1)^3和D(2,1;gamma)的非线性西格玛模型

Spin-chain with PSU(2|2)xU(1)^3 and Non-linear Sigma-model with D(2,1;gamma)

Shogo Aoyama, Yuco Honda

摘要:

我们提出,自旋链与PSU(2| 2)xU(1)^3对称性等价于PSU(2)上的非线性西格玛模型|2)xU(1)^3/{HxU(1)}具有某个子群。为此,我们证明了前一理论的自旋变量等同于后一理论的Killing标量,并且它们的关联函数具有相同的可积性。认为相应的理论得到PSU(2)是至关重要的|2)xU(1)^3对称性是通过例外超群D(2,1;gamma)的对称性约化而不是PSU(2)的扩张得到的|2)。

英文摘要:

We propose that the spin-chain with the PSU(2|2)xU(1)^3 symmetry is equivalent to the non-linear sigma-model on PSU(2|2)xU(1)^3/{HxU(1)} with a certain subgroup. To this end we show that the spin-variable of the former theory is identified as the Killing scalar of the latter and their correlation functions can have the same integrability. It is crucial to think that the respective theory gets the PSU(2|2)xU(1)^3 symmetry by a symmetry reduction the exceptional supergroup D(2,1;gamma), rather than by an extension of PSU(2|2).

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