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arXiv · 1811.07751

Critical Ising Model in Varying Dimension by Conformal Bootstrap

Andrea Cappelli·Lorenzo Maffi·Satoshi Okuda
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Abstract

The single-correlator conformal bootstrap is solved numerically for several values of dimension 4>d>2 using the available SDPB and Extremal Functional methods. Critical exponents and other conformal data of low-lying states are obtained over the entire range of dimensions with up to four-decimal precision and then compared with several existing results. The conformal dimensions of leading-twist fields are also determined up to high spin, and their d-dependence shows how the conformal states rearrange themselves around d=2.2 for matching the Virasoro conformal blocks in the d=2 limit. The decoupling of states at the Ising point is studied for 3>d>2 and the vanishing of one structure constant at d=3 is found to persist till d=2 where it corresponds to a Virasoro null-vector condition.

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Andrea Cappelli, Lorenzo Maffi, Satoshi Okuda. 2018-11-19. Critical Ising Model in Varying Dimension by Conformal Bootstrap. https://doi.org/10.1007/jhep01(2019)161

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