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- W4319734515 abstract "We study string corrections to one-loop amplitudes of single-particle operators ${cal O}_p$ in $AdS_5 times S^5$. 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 $langle {cal O}_{p_1}{cal O}_{p_2}{cal O}_{p_3} {cal O}_{p_4}rangle$ at order $(alpha')^3$, valid for arbitrary external charges $p_{i}$. 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 $AdS_5times S^5$ 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." @default.
- W4319734515 created "2023-02-11" @default.
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- W4319734515 date "2023-02-08" @default.
- W4319734515 modified "2023-09-30" @default.
- W4319734515 title "One-loop string amplitudes in AdS5×S5: Mellin space and sphere splitting" @default.
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- W4319734515 doi "https://doi.org/10.1007/jhep02(2023)087" @default.
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