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arXiv 2108.04262hep-th
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树能级MHV引力子散射振幅的（手征）Virasoro不变性

(Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes

Shamik Banerjee, Sudip Ghosh, Partha Paul

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7+13 pages, Latex, some problems with referencing resolved
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摘要：

本文从天体全息的观点继续研究了树能级MHV引力子散射振幅。在arXiv：2008.04330中，我们证明了MHV扇区中两个引力子的天体OPE可以写成$\overline{SL(2,\mathbb C)}$电流代数和超平移后代的线性组合。本文证明了OPE在无穷维维拉索罗代数下是明显不变的，正如对$2$ -D CFT所期望的那样.这与$4$ -D渐近平坦时空中的全息对偶是$2$ -D CFT的猜想是一致的.由于我们只得到维拉索罗代数的一个副本，我们可以得出结论，计算MHV振幅的全息对偶理论是一个手征CFT，具有许多其他无限维全局对称性，包括$\overline{SL(2,\mathbb C)}$电流代数，超平移和sub-subleading软引力子对称性。我们还讨论了一些有关的Virasoro对称的外观难题。

英文摘要：

In this paper we continue our study of the tree level MHV graviton scattering amplitudes from the point of view of celestial holography. In arXiv:2008.04330 we showed that the celestial OPE of two gravitons in the MHV sector can be written as a linear combination of $\overline{SL(2,\mathbb C)}$ current algebra and supertranslation descendants. In this note we show that the OPE is in fact manifestly invariant under the infinite dimensional Virasoro algebra as is expected for a $2$-D CFT. This is consistent with the conjecture that the holographic dual in $4$-D asymptotically flat space time is a $2$-D CFT. Since we get only one copy of the Virasoro algebra we can conclude that the holographic dual theory which computes the MHV amplitudes is a chiral CFT with a host of other infinite dimensional global symmetries including $\overline{SL(2,\mathbb C)}$ current algebra, supertranslations and subsubleading soft graviton symmetry. We also discuss some puzzles related to the appearance of the Virasoro symmetry.

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