Bootstrapping non-unitary CFTs
Abstract
We introduce a non-unitary-compatible numerical bootstrap strategy based on the statistical stability of OPE data inferred from crossing at multiple cross-ratios. For a trial spectrum, crossing determines OPE coefficients whose residual cross-ratio dependence directly measures the truncation error. This defines a scalar objective on the space of spectra, allowing bootstrap searches without imposing unitarity. Applied to two-dimensional Virasoro blocks, the method reproduces known A-series minimal models, including non-unitary examples, and yields candidate truncated solutions for c>1 with crossing violation comparable to that of minimal models. More generally, our framework provides a practical route to solving bootstrap constraints beyond the convex, unitary setting.
Keywords
Cite
@article{arxiv.2512.07706,
title = {Bootstrapping non-unitary CFTs},
author = {Yu-tin Huang and Shao-Cheng Lee and Henry Liao and Justinas Rumbutis},
journal= {arXiv preprint arXiv:2512.07706},
year = {2026}
}
Comments
5 pages + appendix, 6 figures, v2; a discussion on related work and a new result added