Puzzles of η-deformed AdS5 × S5
Puzzles of η-deformed AdS5 × S5
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DOI：
10.1007/jhep12(2015)049
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发表时间：
2015-07
影响因子：
5.4
通讯作者：
G. Arutyunov;R. Borsato;S. Frolov
中科院分区：
文献类型：
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作者：
G. Arutyunov;R. Borsato;S. Frolov
我们导出了η变形的ADS 5×S 5空间上的Sigma模型的拉格朗日部分，该空间在费米子中是二次的，完全依赖于玻色子。然后，我们证明了存在一个场重新定义，它将相应的La-grangian带到IIB型Green-Schwarz超弦的标准形式。读出相应的RR耦合，我们观察到它们不能满足超引力运动方程，尽管存在κ对称。然而，在一个特殊的比例限制下，我们的解再现了马尔达塞纳和鲁索发现的超重力背景。此外，利用费米子拉格朗日量，我们计算了树级世界-薄片散射矩阵的一些新的矩阵元素。然后，我们证明了在不可单粒子分解的两粒子态的么正变换之后，相应的T矩阵分解成两个等价的部分。每个部分都满足经典的杨-巴克斯特方程，并与q变形S矩阵的大拉伸极限相吻合。
We derive the part of the Lagrangian for the sigma model on the η-deformed AdS 5× S 5 space which is quadratic in fermions and has the full dependence on bosons. We then show that there exists a field redefinition which brings the corresponding La-grangian to the standard form of type IIB Green-Schwarz superstring. Reading off the corresponding RR couplings, we observe that they fail to satisfy the supergravity equations of motion, despite the presence of κ-symmetry. However, in a special scaling limit our solution reproduces the supergravity background found by Maldacena and Russo. Further, using the fermionic Lagrangian, we compute a number of new matrix elements of the tree level world-sheet scattering matrix. We then show that after a unitary transformation on the basis of two-particle states which is not one-particle factorisable, the corresponding T-matrix factorises into two equivalent parts. Each part satisfies the classical Yang-Baxter equation and coincides with the large tension limit of the q-deformed S-matrix.