Abstract
We elaborate on various aspects of our top-down celestial holographic duality wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler geometry known as Burns space. The bulk theory includes an open string sector comprising a 4d WZW model and a closed string sector called “Mabuchi gravity” capturing fluctuations of the Kähler potential. Starting with the type I topological B-model on the twistor space of flat space, we obtain the twistor space of Burns space from the backreaction of a stack of N coincident D1 branes, while the chiral algebra is obtained from (a twist of) the brane worldvolume theory. One striking consequence of this duality is that all loop-level scattering amplitudes of the theory on Burns space can be expressed as correlation functions of an explicit 2d chiral algebra.
We also present additional large-N checks, matching several 2 and 3-point amplitudes and their collinear expansions in the WZW4 sector, and the mixed WZW4-Mabuchi sector, of the bulk theory to the corresponding 2 and 3-point vacuum correlators and operator product expansions in the dual chiral algebra. Key features of the duality, along with our main results, are summarized in the introduction.
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Acknowledgments
We are grateful to Roland Bittleston, Eduardo Casali, Maciej Dunajski, Joel Fine, Davide Gaiotto, Manki Kim, Claude LeBrun, Lionel Mason, Walker Melton, Rashmish Mishra, Prahar Mitra, Sujay Nair, Shruthi Narayanan, Sabrina Pasterski, David Skinner and Andy Strominger for enlightening discussions. K.C. is supported by the NSERC Discovery Grant program and by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. NP is supported by the University of Washington and the DOE Early Career Research Program under award DE-SC0022924. AS is supported by a Black Hole Initiative fellowship, funded by the Gordon and Betty Moore Foundation and the John Templeton Foundation. He has also received support from the ERC grant GALOP ID: 724638 during earlier stages of this work.
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Costello, K., Paquette, N.M. & Sharma, A. Burns space and holography. J. High Energ. Phys. 2023, 174 (2023). https://doi.org/10.1007/JHEP10(2023)174
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DOI: https://doi.org/10.1007/JHEP10(2023)174