Abstract
We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient α controlling the leading correction to maximal supergravity. The negative region α<0 is excluded by a simple dual argument based on linearized unitarity (the desert). A whole semi-infinite region α≳0.14 is allowed by the primal bootstrap (the garden). A finite intermediate region is excluded by nonperturbative unitarity (the swamp). Remarkably, string theory seems to cover all (or at least almost all) the garden from very large positive α-at weak coupling-to the swamp boundary-at strong coupling.
Highlights
We focus on the leading Wilson coefficient α controlling the leading correction to maximal supergravity
The first hints of such completions come from the Wilson coefficients (WCs) governing the low energy effective action
String theory leads to some values of the WCs: other theories to other values
Summary
Where Is String Theory in the Space of Scattering Amplitudes? We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions.
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