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2020

Large $p$ explorations. From SUGRA to big STRINGS in Mellin space

Aprile, Francesco, Vieira, Pedro

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We explore a new way of probing scattering of closed strings in $AdS_5\times S^5$, which we call `the large $p$ limit'.

It consists of studying four-point correlators of single-particle operators in $\mathcal{N}=4$ SYM at large $N$ and large 't Hooft coupling $\lambda$, by looking at the regime in which the dual KK modes become short massive strings.
In this regime the charge of the single-particle operators is order $\lambda^{1/4}$ and the dual KK modes are in between fields and strings.
Starting from SUGRA we compute the large $p$ limit of the correlators by introducing an improved $AdS_5\times S^5$ Mellin space amplitude, and we show that the correlator is dominated by a saddle point.

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