论文标题
超对称黑洞和$ t \ bar t $变形
Supersymmetric black holes and $T\bar T$ deformation
论文作者
论文摘要
弦理论压缩中超对称黑洞的熵可能与D-或M-Brane系统的熵有关，在许多情况下，该系统可以进一步降低为二维形式的保形场理论（CFT）。对于Mheor中的黑洞，这种关系涉及黑洞质量分歧的脱钩极限。我们建议远离此极限对应于CFT的特定无关扰动，即$ t \ bar t $变形的超对称完成。我们证明，黑洞质量与$ t \ bar t $变形的能级完全匹配，因为确定了$ t \ bar t $变形参数，而黑洞质量的前项倒数。我们讨论了对黑洞和变形CFT的各种含义，包括用于包裹的M5-Branes的Hagedorn温度，以及变形理论中的脱落性变化。
The entropy of supersymmetric black holes in string theory compactifications can be related to that of a D- or M-brane system, which in many cases can be further reduced to a two-dimensional conformal field theory (CFT). For black holes in M-theory, this relation involves a decoupling limit where the black hole mass diverges. We suggest that moving away from this limit corresponds to a specific irrelevant perturbation of the CFT, namely the supersymmetric completion of the $T\bar T$ deformation. We demonstrate that the black hole mass matches precisely with the $T\bar T$ deformed energy levels, upon identifying the $T\bar T$ deformation parameter with the inverse of the leading term of the black hole mass. We discuss various implications for black holes and deformed CFT's, including a Hagedorn temperature for wrapped M5-branes, and potential change of degeneracies in the deformed theory.
