One-loop string amplitudes in AdS(5)xS(5): Mellin space and sphere splitting

Author(s)

Aprile, F. ; Drummond, J. M. ; Glew, R. ; Santagata, M.

• Document type: Journal article
• Source: Journal of High Energy Physics; v. N/A, n. 2, p. 40-pg., 2023-02-08.

Abstract

We study string corrections to one-loop amplitudes of single-particle operators O-p in AdS(5)x S-5. The tree-level correlators in supergravity enjoy an accidental 10d conformal symmetry. Consequently, one observes a partial degeneracy in the spectrum of anomalous dimensions of double-trace operators and at the same time equality of many different correlators for different external charges p(i)=1,2,3,4. The one-loop contribution is expected to lift such bonus properties, and its precise form can be predicted from tree-level data and consistency with the operator product expansion.Here we present a closed-form Mellin space formula for (Op1Op2Op3Op4) at order (alpha')(3), valid for arbitrary external charges pi. Our formula makes explicit the lifting of the bonus degeneracy among different correlators through a feature we refer to as "sphere splitting'. While tree-level Mellin amplitudes come with a single crossing symmetric kernel, which defines the pole structure of the AdS(5) x S-5 amplitude, our one-loop amplitude naturally splits the S-5 part into two separate contributions. The amplitude also exhibits a remarkable consistency with the corresponding flat space IIB amplitude through the large p limit. (AU)

• FAPESP's process: 20/16337-8 - Small operators
• Grantee: Francesco Aprile
• Support Opportunities: Scholarships in Brazil - Post-Doctoral