论文标题
在对称和半对称coset Sigma模型的超级非亚洲T-二维上
On Super Non-Abelian T-Duality of Symmetric and Semi-Symmetric Coset Sigma Models
论文作者
论文摘要
我们回顾了[1]中考虑的超级非亚伯T偶对二维的代数方法，重点介绍了$ g/h $上的对称和半对称coset空间。我们讨论了潜在的障碍，在集成量规场以支持双重变量时出现在这些模型中。这个过程一般不能进行，我们隔离了障碍物，突出了三个可以找到解决方案的情况。在编写了T偶的操作后，我们为两个特定模型提供解决方案。第一个基于对称空间$ s^{3} \ simeq so（4）/so（3）$，在文献中众所周知，第二个在半对称性coset $ osp（1 | 2）/so（1,1）$上，是一种绿色 - schwarz的弦乐模型，可满足超级强度的约束。
We review the algebraic approach to super non-Abelian T-Duality considered in [1], focusing on symmetric and semi-symmetric coset spaces on $G/H$. We discuss a potential impediment, appearing in these models when integrating out the gauge field in favour of the dual variables. This process cannot be performed in general and we isolate the obstruction, highlighting three cases in which a solution can be found. After writing the T-dual action we provide solution for two specific models. The first based on the symmetric space $S^{3} \simeq SO(4)/SO(3)$, well-known in the literature, the second on the semi-symmetric coset $OSp(1|2)/SO(1,1)$, a Green-Schwarz-like string sigma model satisfying the supergravity torsion constraints.
