论文标题

量子校正对广义T-两倍

Quantum correction to generalized T-dualities

论文作者

Borsato, Riccardo, Wulff, Linus

论文摘要

Poisson-lie二元性是对阿贝尔和非阿布尔T偶偶二维的概括,可以将其视为弦乐理论的低能有效方程式(即在(超级)重力级别上)之间的映射。我们表明,只要校正了地图,这一事实将扩展到$α'$($σ$模型的两个循环)中的下一个顺序($σ$ - 模型的摄动理论)。 $α'$ - 对地图的校正是由从双倍的$ o(d,d)$ - 协变量的配方到通常的(超级)重力描述所必需的磁场的异常转换。

Poisson-Lie duality is a generalization of abelian and non-abelian T-duality, and it can be viewed as a map between solutions of the low-energy effective equations of string theory, i.e. at the (super)gravity level. We show that this fact extends to the next order in $α'$ (two loops in $σ$-model perturbation theory) provided that the map is corrected. The $α'$-correction to the map is induced by the anomalous Lorentz transformations of the fields that are necessary to go from a doubled $O(D,D)$-covariant formulation to the usual (super)gravity description.

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