Abstract
We carry out a bootstrap study of four-point correlators in 4d \( \mathcal{N} \) = 2 SCFTs which are dual to super Yang-Mills on AdS5 × S3. We focus on the simplest \( \frac{1}{2} \)-BPS operators which correspond to the super gluons in the massless current multiplet. Our computation is based on an ansatz in position space which is inspired by a hidden symmetry structure manifest in the leading terms of the Lorentzian singularities of the correlators. By using other consistency conditions, we completely fix the super gluon correlators at one and two loops in the bulk genus expansion, up to possible counterterms. Our results reveal a number of interesting properties enriched by the color structures. In particular, the implication of hidden conformal symmetry on the full super gluon reduced correlator exhibits an analogous pattern as in the AdS5 × S5 supergravity correlators recently computed up to two loops.
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Acknowledgments
The authors would like to thank Lilin Yang for useful discussions and for sharing with us data of integrals that are needed in the flat-space computation. 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. X.Z. is supported by funds from University of Chinese Academy of Sciences (UCAS), funds from the Kavli Institute for Theoretical Sciences (KITS), the Fundamental Research Funds for the Central Universities, and the NSFC Grant No. 12275273.
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Huang, Z., Wang, B., Yuan, E.Y. et al. AdS super gluon scattering up to two loops: a position space approach. J. High Energ. Phys. 2023, 53 (2023). https://doi.org/10.1007/JHEP07(2023)053
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DOI: https://doi.org/10.1007/JHEP07(2023)053