论文标题
bi- $η$和bi- $λ$的变形$ \ mathbb {z} _4 $置换超级库
Bi-$η$ and bi-$λ$ deformations of $\mathbb{Z}_4$ permutation supercosets
论文作者
论文摘要
ADS上的可集成字符串Sigma型号$ _3 $背景具有16个超对称性，其超级测定组是直接产品。结果，这些模型的变形理论特别丰富，因为产品中的两个超组可以独立变形。我们构建了两类$ \ mathbb {z} _4 $ permuntuart Supercoset Sigma模型的两类$ \ $η$和Bi- $λ$的变形，该模型描述了II型ADS $ _3 $ _3 $ pure R-R R-R R-R Flux的Green-Schwarz和Pure-Schwarz和Pure-Spinor string Worldsheet Therneet理论的扇区。当一个超级组不明化时，我们讨论了这些模型的重要限制。相关的变形超级背景应保留8个超对称性，并有望具有比完整的BI形成更好的特性。为了研究这些模型的量子性能，我们研究了双$λ$变形的骨截断的两环RG流。
Integrable string sigma models on AdS$_3$ backgrounds with 16 supersymmetries have the distinguishing feature that their superisometry group is a direct product. As a result the deformation theory of these models is particularly rich since the two supergroups in the product can be deformed independently. We construct bi-$η$ and bi-$λ$ deformations of two classes of $\mathbb{Z}_4$ permutation supercoset sigma models, which describe sectors of the Green-Schwarz and pure-spinor string worldsheet theories on type II AdS$_3$ backgrounds with pure R-R flux. We discuss an important limit of these models when one supergroup is undeformed. The associated deformed supergravity background should preserve 8 supersymmetries and is expected to have better properties than the full bi-deformation. As a step towards investigating the quantum properties of these models, we study the two-loop RG flow of the bosonic truncation of the bi-$λ$ deformation.
