发表机构
Centro de Estudios Científicos (CECs); Facultad de Ingeniería, Universidad San Sebastián（科学研究中心; 圣塞巴斯蒂安大学工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究为三维爱因斯坦引力引入新边界条件，实现特定代数结构，通过微分同胚诱导化学势变换，用扭曲Cardy公式重现黑洞熵，并与已有边界条件作对比。
AI 中文摘要
我们为具有负宇宙学常数的三维爱因斯坦引力引入一组新的边界条件。正则生成元以标准形式清晰实现了Virasoro代数与$u(1)$ Kac-Moody代数的半直和，无需额外重新定义整体荷。我们证明，要求欧几里得BTZ黑洞与热AdS$_3$微分同胚，会精确诱导化学势的扭曲模S变换，对应的扭曲Cardy公式可精确重现贝肯斯坦-霍金熵，基态被认定为欧几里得AdS$_3$。我们还明确比较了其与Brown-Henneaux及Compere-Song-Strominger边界条件的差异。
英文摘要
We introduce a new set of boundary conditions for three-dimensional Einstein gravity with negative cosmological constant. The canonical generators plainly realize the semidirect sum of Virasoro and $u(1)$ Kac-Moody algebras in its standard form, without the need of additional redefinitions of the global charges. We show that requiring Euclidean BTZ and thermal AdS$_3$ to be diffeomorphic precisely induces the warped modular $S$-transformation of the chemical potentials. The corresponding warped Cardy formula then exactly reproduces the Bekenstein-Hawking entropy, where the ground state is identified as Euclidean AdS$_3$. An explicit comparison with the boundary conditions of Brown-Henneaux and Compere-Song-Strominger is also addressed.
Comments10 pages, 1 figure. References added
