Abstract
Abstract
We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS5×S5, which is dual to the correlator $$ \left\langle {\mathcal{O}}_2{\mathcal{O}}_2{\mathcal{O}}_p{\mathcal{O}}_p\right\rangle $$
O
2
O
2
O
p
O
p
of half-BPS operators in $$ \mathcal{N} $$
N
= 4 SYM theory. The result has the form of an integral over the Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion of single-valued multiple polylogarithms of weight three. The result fixes OPE data of single-trace operators in $$ \mathcal{N} $$
N
= 4 SYM theory at strong coupling, including operators with non-zero R-charge and odd spin. We successfully check our results by comparing to data available from integrability, localisation and consistency with a 10d effective action.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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