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Critical exponents of the 3d Ising and related models from Conformal Bootstrap

5 Pith papers cite this work. Polarity classification is still indexing.

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abstract

The constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of low-lying primary operators of the theory. We evaluate the lowest scaling dimensions of the local operators associated with the Yang-Lee edge singularity for $2 \le D \le 6$. Likewise we obtain the scaling dimensions of six scalars and four spinning operators for the 3d critical Ising model. Our findings are in agreement with existing results to a per mill precision and estimate several new exponents.

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hep-th 5

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2026 5

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representative citing papers

Efficient Conformal Block Evaluation with GoBlocks

hep-th · 2026-03-11 · conditional · novelty 7.0

GoBlocks delivers faster recursive evaluation of conformal blocks than prior packages, enabling mixed-correlator bootstrap optimizations for the 3D Ising model and O(N) vectors.

$\mathcal{PT}$-symmetric Field Theories at Finite Temperature

hep-th · 2026-04-09 · unverdicted · novelty 7.0

A thermal normal-ordering scheme yields systematic epsilon-expansions for thermal observables in PT-symmetric cubic and quintic O(N) models, agreeing with exact 2D results from minimal models M(2,5) and M(3,8)_D and providing higher-d extrapolations.

Upgrading Extremal Flows in the Space of Derivatives

hep-th · 2026-04-27 · unverdicted · novelty 6.0

A prototype successfully upgrades low-order extremal flow solutions to high numerical order for gap maximization in a simple spinning modular bootstrap test case.

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