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High Energy Physics - Theory

arXiv:2111.01799 (hep-th)
[Submitted on 2 Nov 2021]

Title:Conformal Bootstrap Deformations

Authors:Nima Afkhami-Jeddi
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Abstract:We explore the space of extremal functionals in the conformal bootstrap. By recasting the bootstrap problem as a set of non-linear equations parameterized by the CFT data, we find an efficient algorithm for converging to the extremal solution corresponding to the boundary of allowed regions in the parameter space of CFTs. Furthermore, by deforming these solutions, we demonstrate that certain solutions corresponding to known theories are continuously connected. Employing these methods, we will explore the space of non-unitary CFTs in the context of modular as well as correlation function bootstrap. In two dimensions, we show that the extremal solution corresponding to the Ising model is connected to that of the Yang-Lee minimal model. By deforming this solution to three dimensions, we provide evidence that the CFT data obtained in this way is compatible with the $\epsilon$-expansion for a non-unitary theory.
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.01799 [hep-th]
  (or arXiv:2111.01799v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.01799
Related DOI: https://doi.org/10.1007/JHEP09%282022%29225

Submission history

From: Nima Afkhami-Jeddi [view email]
[v1] Tue, 2 Nov 2021 18:00:01 UTC (2,283 KB)
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