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arXiv · 2512.07706

Bootstrapping non-unitary CFTs

Yu-tin Huang·Shao-Cheng Lee·Henry Liao·Justinas Rumbutis
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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.

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Yu-tin Huang, Shao-Cheng Lee, Henry Liao, Justinas Rumbutis. 2025-12-08. Bootstrapping non-unitary CFTs. https://arxiv.org/abs/2512.07706

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