论文标题
非等法U二元
Non-isometric U-dualities
论文作者
论文摘要
我研究了不依赖异构体的存在的U-二次转化的概括。首先，在IIA型解决方案之间提供$ \ text {m} _7 \ times \ times \ text {s}^3 $之间的IIA型超重力解决方案之间的更多详细信息，NSNS Flux和11维超级的解决方案，由三个sphere替换为三层的结构，以四态替换为四型的组合。然后，我表明，当$ \ text {m} _7 $允许两个Abelian等法时，IIA侧的TST变形在11维设置中变成了六载体变形。这些六载体变形涉及在等距和非等法方向上的$ \ mathrm {e} _ {6（6）} $的动作。我讨论了这些变形的代数解释，并将其与（广义的）Yang-baxter变形在超级重力中进行比较。
I study generalisations of U-duality transformations which do not rely on the existence of isometries. I start by providing more details of a recently proposed generalised U-duality map between solutions of type IIA supergravity of the form $\text{M}_7 \times \text{S}^3$, with NSNS flux, and solutions of 11-dimensional supergravity, in which the three-sphere is replaced by a four-dimensional geometry which encodes three-algebra structure constants. I then show that when $\text{M}_7$ admits two abelian isometries, TsT deformations on the IIA side become six-vector deformations in the 11-dimensional setting. These six-vector deformations involve an action of $\mathrm{E}_{6(6)}$ on both isometric and non-isometric directions. I discuss the algebraic interpretation of these deformations, and compare and contrast them with (generalised) Yang-Baxter deformations in supergravity.
