The authors compute defect CFT data to third order in the epsilon expansion and discover approximate 'shadow' relations between surface and bulk scaling dimensions.
The critical O($N$) $\sigma$-model at dimension $2<d<4$: Hardy-Ramanujan distribution of quasi-primary fields and a collective fusion approach
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abstract
The distribution of quasiprimary fields of fixed classes characterized by their O$(N)$ representations $Y$ and the number $p$ of vector fields from which they are composed at $N=\infty$ in dependence on their normal dimension $[\delta]$ is shown to obey a Hardy-Ramanujan law at leading order in a $\frac{1}{N}$-expansion. We develop a method of collective fusion of the fundamental fields which yields arbitrary \qps and resolves any degeneracy.
fields
hep-th 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
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Surprises in the Ordinary: $O(N)$ Invariant Surface Defect in the $\epsilon$-expansion
The authors compute defect CFT data to third order in the epsilon expansion and discover approximate 'shadow' relations between surface and bulk scaling dimensions.