2021/10/08 by Hongliang Jiang, Jiang, Hongliang
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2110.04255
openalex publication_date 2021/10/08 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Celestial operator product expansions (OPEs) arise from the collinear limit\nof scattering amplitudes and play a vital role in celestial holography. In this\npaper, we derive the celestial OPEs of massless fields in string theory from\nthe worldsheet. By studying the worldsheet OPEs of vertex operators in\nworldsheet CFT and further examining their behaviors in the collinear limit, we\nfind that new vertex operators for the massless fields in string theory are\ngenerated and become dominant in the collinear limit. Mellin transforming to\nthe conformal basis yields exactly the celestial OPEs in celestial CFT. We also\nderive the celestial OPEs from the collinear factorization of string amplitudes\nand the results derived in these two different methods are in perfect agreement\nwith each other. Our final formulae of celestial OPEs are applicable to general\ndimensions, corresponding to Einstein-Yang-Mills theory supplemented by some\npossible higher derivative interactions. Specializing to 4D, we reproduce all\nthe celestial OPEs for gluon and graviton in the literature. We consider\nvarious string theories, including the open and closed bosonic string, as well\nas the closed superstring theory with mathcal N=1 and mathcal N=2\nworldsheet supersymmetry. In the case of mathcal N=2 string, we also derive\nall the \SL (2, mathbb R) descendant contributions in the celestial\nOPE; the soft sector of such OPE just yields the w1+\∞ algebra after\nrewriting in terms of chiral modes. Our stringy derivation of celestial OPEs\nthus initiates the first step towards the realization of celestial holography\nin string theory.\n