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Résumé |
I will talk about a 2d CFT dual we constructed for 4d gluon MHV amplitudes in flat
space, based on the papers 2403.18896 and 2312.07820. I will start with reviewing
relevant aspects of celestial holography, in particular, the challenges of
understanding the role of translation invariance in the CFT dual. Then I will
discuss the central object in my talk, leaf amplitudes, which are smooth functions
that bridge usual (singular) flat space amplitudes and our simple CFT dual. I will
then introduce the CFT dual, whose correlators reproduce gluon MHV amplitudes. It
comprises two sectors, one with free fermions that give a current algebra, the
other being Liouville theory. The key step is to show correlators of light
operators in the semiclassical limit of Liouville theory are scalar contact Witten
diagrams. |
