TY - JOUR
T1 - O(N) models with boundary interactions and their long range generalizations
AU - Giombi, Simone
AU - Khanchandani, Himanshu
N1 - Funding Information:
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Publisher Copyright:
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PY - 2020/8/1
Y1 - 2020/8/1
N2 - 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.
AB - 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.
KW - Boundary Quantum Field Theory
KW - Conformal Field Theory
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U2 - 10.1007/JHEP08(2020)010
DO - 10.1007/JHEP08(2020)010
M3 - Article
AN - SCOPUS:85089093172
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 8
M1 - 10
ER -