论文标题

$ t \ bar {t} $的brane shell的底物

A substrate for brane shells from $T\bar{T}$

论文作者

Aguilera-Damia, Jeremias, Anderson, Louise M., Coleman, Evan

论文摘要

最近已经猜想了$ ads_3 $的世界表弦乐理论的可解决的电流 - 电流变形,这是对时空orbifold CFT的无关变形双重的,通常称为单个跟踪$ t \ bar {t} $。这些变形产生了一系列散装的几何形状,这些家族实现了向紫外线的非平凡流动。对于这种变形的特定迹象,相应的三维几何形状在内部接近$ ads_3 $,但在有限半径下具有曲率奇异性,除此之外,有封闭的时间表曲线。已经提出,这种奇异性是由于存在“负麸皮”的存在,它们是一个奇异的物体,通常会改变度量标记。我们通过切割和粘合到常规背景,以接近紫外线中的线性dilaton真空,为这些几何形状提出了替代的紫外线完成。在S偶图中,一种称为Enhançon的奇异分辨率机制通过在奇异性附近的固定径向位置形成$ d5 $ branes的外壳来诱导这种过渡。在这种情况下,涉及负麸皮的解决方案获得了新的解释。

A solvable current-current deformation of the worldsheet theory of strings on $AdS_3$ has been recently conjectured to be dual to an irrelevant deformation of the spacetime orbifold CFT, commonly referred to as single-trace $T\bar{T}$. These deformations give rise to a family of bulk geometries which realize a non-trivial flow towards the UV. For a particular sign of this deformation, the corresponding three-dimensional geometry approaches $AdS_3$ in the interior, but has a curvature singularity at finite radius, beyond which there are closed timelike curves. It has been suggested that this singularity is due to the presence of "negative branes," which are exotic objects that generically change the metric signature. We propose an alternative UV-completion for these geometries by cutting and gluing to a regular background which approaches a linear dilaton vacuum in the UV. In the S-dual picture, a singularity resolution mechanism known as the enhançon induces this transition by the formation of a shell of $D5$-branes at a fixed radial position near the singularity. The solutions involving negative branes gain a new interpretation in this context.

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