Dual description of ?-deformed OSP sigma models
Dual description of ?-deformed OSP sigma models
复制标题
β-变形 OSP sigma 模型的对偶描述
DOI：
10.1007/jhep12(2020)040
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发表时间：
2020
影响因子：
5.4
通讯作者：
Alfimov M
中科院分区：
文献类型：
--
作者：
Alfimov M
研究了渐近自由区(N> 2m+ 2) η-形变OSP (N| 2m) σ模型的对偶描述。与经典李群的情况相比，对于超群，不同的单根选择对应着不相等的η-变形。对于一类这样的变形，我们提出了依赖于连续参数b的筛选电荷系统，该系统定义了极限b→∞的η-变形OSP (N| 2m) σ模型和一定的Toda QFT为b→0。在sigma模型中，我们证明了η-变形模型的UV渐近性与扰动高斯理论是一致的。在扰动状态b→0下，我们证明了树级两粒子散射矩阵符合三角OSP (N| 2m) s矩阵的展开式。
We study the dual description of the η-deformed OSP (N| 2m) sigma model in the asymptotically free regime (N> 2m+ 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η-deformations corresponding to different choices of simple roots. For a class of such deformations we propose the system of screening charges depending on a continuous parameter b, which defines the η-deformed OSP (N| 2m) sigma model in the limit b→∞ and a certain Toda QFT as b→ 0. In the sigma model regime we show that the leading UV asymptotic of the η-deformed model coincides with a perturbed Gaussian theory. In the perturbative regime b→ 0 we show that the tree-level two-particle scattering matrix matches the expansion of the trigonometric OSP (N| 2m) S-matrix.