Journal of High Energy Physics (Dec 2023)

Genus-one open string amplitudes on AdS5 ×S3 from CFT

  • H. Paul,
  • M. Santagata

DOI
https://doi.org/10.1007/JHEP12(2023)057
Journal volume & issue
Vol. 2023, no. 12
pp. 1 – 47

Abstract

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Abstract We bootstrap one-loop string corrections to the four-point function of half-BPS operators in a 4d N $$ \mathcal{N} $$ = 2 SCFT with flavour group SO(8), dual to gluon scattering at genus one on AdS5×S3. We identify an 8-dimensional organising principle which governs the spectrum of double-trace anomalous dimensions, valid to all orders in the string length. This has precise implications for the structure of one-loop Mellin amplitudes, which we explicitly compute for the first three orders beyond the field-theory limit. We also consider the corresponding position space representation, which is entirely determined by the square of a certain differential operator acting on a simpler “pre-correlator”. Finally, we show that the flat-space limit of the Mellin amplitudes exactly matches the logarithmic terms of the genus-one amplitude in 8-dimensional flat space, which we compute via a partial-wave analysis.

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