论文标题
$η$ defformed $ ads_5 \ times s^5 $的世界表散射的扭曲故事
The twisted story of worldsheet scattering in $η$-deformed $AdS_5 \times S^5$
论文作者
论文摘要
我们研究广告$最变形的世界表散射理论$ _ \ Mathsf {5} \ times $ s $ s $ s $^\ mathsf {5} $ superString对应于纯粹的费米尼克dynkin图。该理论是ADS $ _ \ MATHSF {5} \ times $ s $ s $ s $^\ MATHSF {5} $ superString的Weyl不变的集成变形，并带有三角量子量化的对称性。我们在树层的轻锥量规上计算了该字符串的两体世界表矩阵，以在费米子中进行二次顺序。结果将其分解为两个基本块，并求解经典的Yang-Baxter方程。我们还确定了相应的精确分解的S矩阵，并表明其扰动膨胀与我们的树级结果匹配，一旦我们正确识别了字符串的变形的轻角对称代数。最后，我们简要地重新审视了基于杰出的Dynkin图的$η$变形的相应S矩阵的计算，与先前的结果相比，找到了一个树级s矩阵，该基级S矩阵将经典的Yang-baxter方程分配和求解。
We study the worldsheet scattering theory of the $η$ deformation of the AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring corresponding to the purely fermionic Dynkin diagram. This theory is a Weyl-invariant integrable deformation of the AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring, with trigonometric quantum-deformed symmetry. We compute the two-body worldsheet S matrix of this string in the light-cone gauge at tree level to quadratic order in fermions. The result factorizes into two elementary blocks, and solves the classical Yang-Baxter equation. We also determine the corresponding exact factorized S matrix, and show that its perturbative expansion matches our tree-level results, once we correctly identify the deformed light-cone symmetry algebra of the string. Finally, we briefly revisit the computation of the corresponding S matrix for the $η$ deformation based on the distinguished Dynkin diagram, finding a tree-level S matrix that factorizes and solves the classical Yang-Baxter equation, in contrast to previous results.
