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arXiv 2102.02847hep-th
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Where is String Theory?

Andrea Guerrieri, Joao Penedones, Pedro Vieira

英文摘要:

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 $α\gtrsim 0.14$ is allowed by the primal bootstrap (the garden). A finite intermediate region is excluded by non-perturbative 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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