Bootstrapping the 3d Ising twist defect

Abstract

Recent numerical results point to the existence of a conformally invariant twist defect in the critical 3d Ising model. In this note we show that this fact is supported by both epsilon expansion and conformal bootstrap calculations. We find that our results are in good agreement with the numerical data. We also make new predictions for operator dimensions and OPE coefficients from the bootstrap approach. In the process we derive universal bounds on one-dimensional conformal field theories and conformal line defects.

24+8 pages, 12 figures, references added

References in corpus (9)

• Bootstrapping the O(N) Vector Models
• Bounds on 4D Conformal and Superconformal Field Theories
• The $(2,0)$ superconformal bootstrap
• More constraining conformal bootstrap
• Bounds in 4D Conformal Field Theories with Global Symmetry
• Conformal Field Theories in Fractional Dimensions
• Central Charge Bounds in 4D Conformal Field Theory
• The superconformal bootstrap for structure constants
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