The $\epsilon$-expansion of the codimension two twist defect from conformal field theory

Abstract

We apply the framework of Rychkov-Tan arXiv:1505.00963 to the codimension two twist defect at the Wilson-Fisher fixed point in $4-\epsilon$ dimensions. We obtain the scaling dimensions of the operators on the defect up to the lowest nontrivial order in the $\epsilon$-expansion without using Feynman diagram computation. Our results agree with the known results.

5 pages. v2, v3: typos corrected

References in corpus (3)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Bootstrapping Mixed Correlators in the 3D Ising Model
• Critical exponents of the 3d Ising and related models from Conformal Bootstrap

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