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2026-01-08 06:34 UTC · hep-th · hep-th

A four-dimensional conformal construction of Virasoro-Shapiro amplitudes

Vaibhav Wasnik

We construct a four-dimensional conformal amplitude whose four-point structure matches the Virasoro-Shapiro form familiar from string theory. The construction uses only general principles of conformal field theory - radial quantization, scale invariance, and analyticity - and does not rely on worldsheet geometry or string degrees of freedom. The resulting object is a kinematical, first quantized amplitude defined by symmetry and consistency, providing a four-dimensional realization of stringlike analytic structure and a concrete target for amplitude bootstrap approaches.
arXiv abstractPDF

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