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Critical Ising Model in Varying Dimension by Conformal Bootstrap

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arxiv 1811.07751 v2 pith:P4CERDMZ submitted 2018-11-19 hep-th cond-mat.stat-mech

Andrea Cappelli , Lorenzo Maffi , Satoshi Okuda This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords conformalstatesbootstrapcriticaldimensiondimensionsisingseveral
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constraints on the $O(n)$ model from a negative number of flavors

    hep-th 2026-08 conditional novelty 7.0 of 10

    The paper extends O(n) spectrum constraints to negative n via the O(n)-Sp(n) duality and derives closed-form two-loop anomalous dimensions for all phi^k operators from two known cases.

  2. The tricritical Ising CFT and conformal bootstrap

    hep-th 2025-01 conditional novelty 7.0 of 10

    First conformal-bootstrap islands for the tricritical Ising CFT in d=2.5 and d=2.75, consistent with Padé interpolations between the 3−ε expansion and the exact 2d minimal model.

  3. On the Wilson-Fisher fixed point in the limit of integer spacetime dimensions

    hep-th 2026-01 conditional novelty 6.0 of 10

    The d→2 Wilson-Fisher limit is proposed to be strictly larger than the 2d Ising CFT, which emerges as a unitary subsector after negative-multiplicity operators cancel exactly.

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