Solar energy paper index
A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude
One-line summary
A solar energy research paper on A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude.
Engineering notes
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Chinese explanation / 中文解读
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Original abstract
We study the closed-string tree-level Virasoro-Shapiro amplitude using the dispersive S-matrix bootstrap. For the ten-dimensional maximally supersymmetric four-point amplitude, we impose analyticity, crossing symmetry, partial-wave unitarity, and Regge boundedness. With the massless graviton pole kept explicitly, the resulting dispersion relations and crossing null constraints give numerical bounds on the leading low-energy coefficients normalized by the gravitational coupling. We then introduce a Virasoro-inspired ansatz, which becomes a set of nonlinear relations among Wilson coefficients and shrinks the allowed region toward the Virasoro-Shapiro trajectory. Finally, we study a gravity-pole-subtracted setup, where the regular part of the amplitude has a well-defined forward limit. In this stripped problem, the nonlinear constraints reduce the allowed region to a small island containing the Virasoro-Shapiro point, for which we provide an analytic bootstrap explanation.
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