论文标题
$ t \ bar t $，黑洞和负字符串
$T\bar T$, Black Holes and Negative Strings
论文作者
论文摘要
$ ads_3 $上的字符串理论具有可解决的单个跟踪无关变形，与$ t \ bar t $密切相关。对于耦合的一个迹象，它导致渐近线性的dilaton时空和相应的Hagedorn光谱。另一方面，所得的时空在有限的径向位置具有曲率奇异性，并且在状态的能量上具有上限。除了奇异性之外，时空的特征是翻转的，并且在无穷大处有一个渐近线性的dilaton边界。我们研究了这个时空中黑洞和基本字符串的特性，并找到明智的图片。奇异性不会引起激励的巨大紫外墙 - 必须包括超越该理论的区域。当黑洞的能量接近上限时，黑洞的大小与奇异性的位置一样。基本的串经过奇异性，但是如果它们的能量在上限上方，则它们的轨迹是奇异的。从无穷大的边界的角度来看，可以将这种背景视为小弦理论的真空，其中包含大量的负字符串。
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.
