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- W3102474831 abstract "We study the critical properties of scalar field theories in $d+1$ dimensions with $O(N)$ invariant interactions localized on a $d$-dimensional boundary. By a combination of large $N$ and epsilon expansions, we provide evidence for the existence of non-trivial $O(N)$ BCFTs in $1<d<4$. Due to having free fields in the bulk, these models possess bulk higher-spin currents which are conserved up to terms localized on the boundary. We suggest that this should lead to a set of protected spinning operators on the boundary, and give evidence that their anomalous dimensions vanish. We also discuss the closely related long-range $O(N)$ models in $d$ dimensions, and in particular study a weakly coupled description of the $d=1$ long range $O(N)$ model near the upper critical value of the long range parameter, which is given in terms of a non-local non-linear sigma model. By combining the known perturbative descriptions, we provide some estimates of critical exponents in $d=1$." @default.
- W3102474831 created "2020-11-23" @default.
- W3102474831 creator A5017569373 @default.
- W3102474831 creator A5082968477 @default.
- W3102474831 date "2020-08-01" @default.
- W3102474831 modified "2023-10-16" @default.
- W3102474831 title "O(N) models with boundary interactions and their long range generalizations" @default.
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- W3102474831 doi "https://doi.org/10.1007/jhep08(2020)010" @default.
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