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arXiv 1608.03570hep-th
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$η$和$λ$变形弦的目标空间超几何

Target space supergeometry of $η$ and $λ$-deformed strings

Riccardo Borsato, Linus Wulff

摘要:

本文研究了超陪集弦西格玛模型的可积$η$和$λ$ -形变,基本例子是$AdS_5 \times S^5$超弦的形变。我们证明了这些模型的kappa对称性变化是标准的Green-Schwarz形式,我们通过计算超空间挠率来确定目标空间超几何。我们检查$λ$ -变形产生了一个标准的(一般类型II*)超重力背景;对于$η$ -模型的要求,目标空间是一个超重力解决方案转化为一个简单的条件R-矩阵,进入变形的定义。我们进一步构造了所有这样的秩为4的非交换R-矩阵,它们可解代数so(2,4)的齐次经典Yang-Baxter方程。我们认为,相应的背景是等价的序列的非交换TsT变换,并验证这明确的一些例子。

英文摘要:

We study the integrable $η$ and $λ$-deformations of supercoset string sigma models, the basic example being the deformation of the $AdS_5 \times S^5$ superstring. We prove that the kappa symmetry variations for these models are of the standard Green-Schwarz form, and we determine the target space supergeometry by computing the superspace torsion. We check that the $λ$-deformation gives rise to a standard (generically type II*) supergravity background; for the $η$-model the requirement that the target space is a supergravity solution translates into a simple condition on the R-matrix which enters the definition of the deformation. We further construct all such non-abelian R-matrices of rank four which solve the homogeneous classical Yang-Baxter equation for the algebra so(2,4). We argue that the corresponding backgrounds are equivalent to sequences of non-commuting TsT-transformations, and verify this explicitly for some of the examples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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