A four-dimensional conformal construction of Virasoro-Shapiro amplitudes
High Energy Physics - Theory
2026-01-09 v1
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.
Keywords
Cite
@article{arxiv.2601.04642,
title = {A four-dimensional conformal construction of Virasoro-Shapiro amplitudes},
author = {Vaibhav Wasnik},
journal= {arXiv preprint arXiv:2601.04642},
year = {2026}
}