The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
Jaychandran Padayasi, Abijith Krishnan, Max A. Metlitski, Ilya A. Gruzberg, Marco Meineri
SciPost Phys. 12, 190 (2022) · published 9 June 2022
- doi: 10.21468/SciPostPhys.12.6.190
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Abstract
This paper studies the critical behavior of the 3d classical $\mathrm{O}(N)$ model with a boundary. Recently, one of us established that upon treating $N$ as a continuous variable, there exists a critical value $N_c > 2$ such that for $2 \leq N < N_c$ the model exhibits a new extraordinary-log boundary universality class, if the symmetry preserving interactions on the boundary are enhanced. $N_c$ is determined by a ratio of universal amplitudes in the normal universality class, where instead a symmetry breaking field is applied on the boundary. We study the normal universality class using the numerical conformal bootstrap. We find truncated solutions to the crossing equation that indicate $N_c \approx 5$. Additionally, we use semi-definite programming to place rigorous bounds on the boundary CFT data of interest to conclude that $N_c > 3$, under a certain positivity assumption which we check in various perturbative limits.
Cited by 44
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 The Ohio State University [OSU]
- 2 Massachusetts Institute of Technology [MIT]
- 3 Université de Genève / University of Geneva [UNIGE]