Leading epsilon corrections to boundary anomalous dimensions and OPE coefficients in phi^3 BCFTs for Yang-Lee and S_{N+1} Potts models, plus higher-derivative generalizations.
$\epsilon$-Expansions Near Three Dimensions from Conformal Field Theory
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abstract
We formally extend the CFT techniques introduced in arXiv:1505.00963, to $\phi^{\frac{2d_0}{d_0-2}}$ theory in $d=d_0-\epsilon$ dimensions and use it to compute anomalous dimensions near $d_0=3, 4$ in a unified manner. We also do a similar analysis of the $O(N)$ model in three dimensions by developing a recursive combinatorial approach for OPE contractions. Our results match precisely with low loop perturbative computations. Finally, using 3-point correlators in the CFT, we comment on why the $\phi^3$ theory in $d_0=6$ is qualitatively different.
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hep-th 2years
2026 2representative citing papers
Recalculation of individual six-loop graph contributions to the beta function in 3d phi^6 theory with arbitrary potential, plus large-N eight-loop terms and O(epsilon^3) critical exponents at the O(N) fixed point.
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Boundary anomalous dimensions from BCFT: $\phi^{3}$ theories with a boundary and higher-derivative generalizations
Leading epsilon corrections to boundary anomalous dimensions and OPE coefficients in phi^3 BCFTs for Yang-Lee and S_{N+1} Potts models, plus higher-derivative generalizations.
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$\phi^6$ at $6$ (and some $8$) loops in $3d$
Recalculation of individual six-loop graph contributions to the beta function in 3d phi^6 theory with arbitrary potential, plus large-N eight-loop terms and O(epsilon^3) critical exponents at the O(N) fixed point.