arXiv 2006.132492020-06hep-th

$T\bar T$、黑洞和负弦

$T\bar T$, Black Holes and Negative Strings

Soumangsu Chakraborty, Amit Giveon, David Kutasov

备注：: 36 pages, 1 figure

摘要：

$AdS_3$上弦论有一个可解的单迹无关形变，它与$T\bar T$密切相关。对于耦合的一个符号，它导致一个渐近线性的强子时空，以及相应的哈格多恩谱。对于另一个，所得到的时空在有限的径向位置有一个曲率奇异性，以及一个状态能量的上限。在奇点之外，时空的特征被翻转，在无穷远处有一个渐近线性的边界。我们研究了这个时空中的黑洞和基本弦的性质，并找到了一个合理的图像。奇点并没有为激发产生一个坚硬的紫外线墙--人们必须包括它之外的区域才能理解这个理论。当黑洞的能量接近上界时，它们的大小就会发散，奇点的位置也是如此。基本弦平稳地通过奇点，但如果它们的能量高于上界，它们的轨迹是奇异的。从无穷远处边界的观点来看，这个背景可以被认为是包含大量负弦的小弦论的真空。

英文摘要：

String theory on $AdS_3$ has a solvable single-trace irrelevant deformation that is closely related to $T\bar T$. For one sign of the coupling, it leads to an asymptotically linear dilaton spacetime, and a corresponding Hagedorn spectrum. For the other, the resulting spacetime has a curvature singularity at a finite radial location, and an upper bound on the energies of states. Beyond the singularity, the signature of spacetime is flipped and there is an asymptotically linear dilaton boundary at infinity. We study the properties of black holes and fundamental strings in this spacetime, and find a sensible picture. The singularity does not give rise to a hard ultraviolet wall for excitations -- one must include the region beyond it to understand the theory. The size of black holes diverges as their energy approaches the upper bound, as does the location of the singularity. Fundamental strings pass smoothly through the singularity, but if their energy is above the upper bound, their trajectories are singular. From the point of view of the boundary at infinity, this background can be thought of as a vacuum of Little String Theory which contains a large number of negative strings.

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