A four-dimensional conformal construction of Virasoro-Shapiro amplitudes

Vaibhav Wasnik

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arXiv · 2601.04642

A four-dimensional conformal construction of Virasoro-Shapiro amplitudes

Vaibhav Wasnik

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Abstract

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.

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Vaibhav Wasnik. 2026-01-08. A four-dimensional conformal construction of Virasoro-Shapiro amplitudes. https://arxiv.org/abs/2601.04642

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