AdS Virasoro-Shapiro from single-valued periods
A bstract We determine the full 1/\(\sqrt {\uplambda}\) correction to the flat-space Wilson
coefficients which enter the AdS Virasoro-Shapiro amplitude in\(\mathcal {N}\)= 4 SYM
theory at strong coupling. The assumption that the Wilson coefficients are in the ring of
single-valued multiple zeta values, as expected for closed string amplitudes, is surprisingly
powerful and leads to a unique solution to the dispersive sum rules relating Wilson
coefficients and OPE data obtained in [1]. The corresponding OPE data fully agrees with and�…
coefficients which enter the AdS Virasoro-Shapiro amplitude in\(\mathcal {N}\)= 4 SYM
theory at strong coupling. The assumption that the Wilson coefficients are in the ring of
single-valued multiple zeta values, as expected for closed string amplitudes, is surprisingly
powerful and leads to a unique solution to the dispersive sum rules relating Wilson
coefficients and OPE data obtained in [1]. The corresponding OPE data fully agrees with and�…
Abstract
We determine the full 1/\(\sqrt {\uplambda}\) correction to the flat-space Wilson coefficients which enter the AdS Virasoro-Shapiro amplitude in= 4 SYM theory at strong coupling. The assumption that the Wilson coefficients are in the ring of single-valued multiple zeta values, as expected for closed string amplitudes, is surprisingly powerful and leads to a unique solution to the dispersive sum rules relating Wilson coefficients and OPE data obtained in [1]. The corresponding OPE data fully agrees with and extends the results from integrability. The Wilson coefficients to order 1/\(\sqrt {\uplambda}\) can be summed into an expression whose structure of poles and residues generalises that of the Virasoro-Shapiro amplitude in flat space.
Springer