Abstract
We perform a systematic bootstrap analysis of four-point one-loop Mellin amplitudes for super gluons in AdS5 × S3 with arbitrary Kaluza-Klein weights. The analysis produces the general expressions for these amplitudes at extremalities two and three, as well as analytic results for many other special cases. From these results we observe remarkable simplicity. We find that the Mellin amplitudes always contain only simultaneous poles in two Mellin-Mandelstam variables, extending a previous observation in the simplest case with the lowest Kaluza-Klein weights. Moreover, we discover a substantial extension of the implication of the eight-dimensional hidden conformal symmetry, which goes far beyond the Mellin poles associated with the leading logarithmic singularities. This leaves only a small finite set of poles which can be determined on a case-by-case basis from the contributions of protected operators in the OPE.
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Acknowledgments
ZH, BW and EYY are supported by National Science Foundation of China under Grant No. 12175197 and Grand No. 12147103. EYY is also supported by National Science Foundation of China under Grant No. 11935013, and by the Fundamental Research Funds for the Chinese Central Universities under Grant No. 226-2022-00216. XZ is supported by the NSFC Grant No. 12275273, funds from University of Chinese Academy of Sciences (UCAS), funds from the Kavli Institute for Theoretical Sciences (KITS), and the Fundamental Research Funds for the Central Universities.
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Huang, Z., Wang, B., Yuan, E.Y. et al. Simplicity of AdS super Yang-Mills at one loop. J. High Energ. Phys. 2024, 190 (2024). https://doi.org/10.1007/JHEP01(2024)190
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DOI: https://doi.org/10.1007/JHEP01(2024)190