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One-loop gluon amplitudes in AdS

Year: 2022
Type: article
Abstract: We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form AdSd+1× S3. For concreteness, we compute the one-loop correction to the massless gluon amplitude on AdS5×S3, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d $$ \mathcal{N} $$ N = 2 SCFT. This requires solving a mixing problem that involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The final answer has the same color structure as in flat space but the dependence on Mandelstam variables is more complicated, with logarithms replaced by polygamma functions.
DOI: 10.1007/jhep02(2022)105
Institutions: University of Oxford, Uppsala University, Chinese Academy of Sciences, Princeton University, Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences
Language: English
Open Access status: diamond
Funders: European Commission, Chinese Academy of Sciences, Knut och Alice Wallenbergs Stiftelse, Vetenskapsrådet, University of Chinese Academy of Sciences, Science and Technology Facilities Council, H2020 European Research Council
Awards: G434337789, The Analytic Conformal Bootstrap, G5435041912, G6597888067, Theoretical Studies of Particles & Strings, Analytic techniques to explore Conformal Field Theories
OpenAlex ID: W3205280078
FWCI: 1.286
Cites: 60
Cited by: 46
Related to: 20