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Conformal bootstrap deformations

delete2022-09-27
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OA
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Nima Afkhami-Jeddi *
DOI:10.1007/JHEP09(2022)225delete
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摘要

摘要

En 中文
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.
Keyword:
Conformal Field Theory
Field Theories in Higher Dimensions
Field Theories in Lower Dimensions

期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
3.9W
被引数:
13.7W

机构

U
university of chicago
学者数:
4.5W
论文数: 3.7W
被引数: 80
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