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Autores principales: Huang, Yu-tin, Lee, Shao-Cheng, Liao, Henry, Rumbutis, Justinas
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2512.07706
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author Huang, Yu-tin
Lee, Shao-Cheng
Liao, Henry
Rumbutis, Justinas
author_facet Huang, Yu-tin
Lee, Shao-Cheng
Liao, Henry
Rumbutis, Justinas
contents 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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id arxiv_https___arxiv_org_abs_2512_07706
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bootstrapping non-unitary CFTs
Huang, Yu-tin
Lee, Shao-Cheng
Liao, Henry
Rumbutis, Justinas
High Energy Physics - Theory
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.
title Bootstrapping non-unitary CFTs
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.07706