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Updated: Oct 21, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Where Is String Theory in the Space of Scattering Amplitudes?
Andrea Guerrieri1, João Penedones2, Pedro Vieira3
1School of Physics and Astronomy, Tel Aviv University, Ramat Aviv 69978, Israel and Instituto de Física Teórica, UNESP, ICTP South American Institute for Fundamental Research, Rua Dr Bento Teobaldo Ferraz 271, 01140-070 São Paulo, Brazil.
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.
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