arXiv 2111.022432021-11hep-th

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TsT、黑洞与$T\ar T + J\ar T + T\ar J$

TsT, black holes, and $T\bar T + J\bar T + T\bar J$

Luis Apolo, Wei Song

备注：: 55 pages, 9 figures; v2: minor edits; v3: corrected typos
发表信息：: JHEP04 (2022) 177
DOI：: 10.1007/JHEP04(2022)177

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AI总结：

本文通过NS1-NS5系统的TsT变换构造与单迹$T\ar T+J\ar T+T\ar J$形变CFT$_2$对偶的旋转黑洞及基态弦背景，并以谱、热力学和真空能量验证对应关系。

摘要：

我们通过对NS1-NS5系统进行一系列TsT变换，生成了一类弦背景，并论证它们与单迹$T\ar T + J\ar T + T\ar J$形变CFT$_2$中的态全息对偶。新的弦背景包括具有两个$U(1)$荷的一般旋转黑洞解，以及一个被解释为基态的无视界光滑解。作为该对应的证据，我们：(i)推导长弦谱，并将其与对偶场论的谱联系起来；(ii)表明黑洞热力学可以从单迹$T\ar T + J\ar T + T\ar J$形变CFT中重现；(iii)表明基态能量与对偶理论中真空的能量相匹配。我们还研究了这些新时空的几何性质，发现对于某些参数选择，Einstein标架中的三维Ricci标量在视界外、到达闭合类时曲线和奇点之前的一个区域内可以变为正值。

英文摘要：

We generate a class of string backgrounds by a sequence of TsT transformations of the NS1-NS5 system that we argue are holographically dual to states in a single-trace $T\bar T + J\bar T + T\bar J$-deformed CFT$_2$. The new string backgrounds include general rotating black hole solutions with two $U(1)$ charges as well as a smooth solution without a horizon that is interpreted as the ground state. As evidence for the correspondence we (i) derive the long string spectrum and relate it to the spectrum of the dual field theory; (ii) show that the black hole thermodynamics can be reproduced from single-trace $T\bar T + J\bar T + T\bar J$-deformed CFTs; and (iii) show that the energy of the ground state matches the energy of the vacuum in the dual theory. We also study geometric properties of these new spacetimes and find that for some choices of the parameters the three-dimensional Ricci scalar in the Einstein frame can become positive in a region outside the horizon before reaching closed timelike curves and singularities.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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