@article{oai:oist.repo.nii.ac.jp:00002822,
 author = {Banerjee, Shamik and Ghosh, Sudip and Paul, Partha},
 issue = {9},
 journal = {Journal of High Energy Physics},
 month = {Sep},
 note = {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 <(SL(2, C))over bar> 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 <(SL(2, C))over bar> current algebra, supertranslations and subsubleading soft graviton symmetry. We also discuss some puzzles related to the appearance of the Virasoro symmetry.},
 title = {(Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes},
 volume = {2022},
 year = {2022}
}