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  • Letter
  • Open Access

Simplicity of Mellin amplitudes for AdS3×S3

F. Aprile1,*, C. Behan2,†, R. S. Pitombo2,3,‡, and M. Santagata4,§

  • *Contact author: faprile@ucm.es
  • †Contact author: connorbehan@ictp-saifr.org
  • ‡Contact author: rs.pitombo@unesp.br
  • §Contact author: michelesa@ntu.edu.tw
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Phys. Rev. D 112, L061902 – Published 16 September, 2025

DOI: https://doi.org/10.1103/6yjg-9mnz

Abstract

The spectrum of half-Bogomol’nyi–Prasad–Sommerfeld (BPS) single-particle operators of the D1-D5 system in the supergravity regime is dual to the spectrum of Kaluza-Klein modes of tensor and graviton multiplets in AdS3×S3. We present simple formulas for all four-point tree-level correlators of scalar half-BPS primary operators in the spectrum, and in particular, we bootstrap the four-point correlator of the graviton multiplet for all KK levels. A key insight of our approach is the use of generalized Mellin space, and a decomposition of the correlators into distinct subsectors each one characterized by different on shell constraints among the Mellin variables. The resulting Mellin amplitudes involve a small set of building blocks with manifest properties under a six-dimensional symmetry.

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Supplemental Material

References (38)

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Phys. Rev. D 112, L061902– Published 16 September, 2025
  • Received 20 May 2025
  • Accepted 19 August 2025
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