Journal
SCIPOST PHYSICS
Volume 12, Issue 6, Pages -Publisher
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.12.6.190
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Funding
- National Science Foundation [DMR-1847861]
- Swiss National Science Foundation through the Ambizione grant [193472]
- National Science Foundation Graduate Research Fellowship [1745302]
- Paul and Daisy Soros Fellowship
- Barry M. Goldwater Scholarship Foundation
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This paper studies the critical behavior of the 3d classical O(N) model with a boundary. A new extraordinary-log boundary universality class is discovered and the critical value N-c is determined using numerical conformal bootstrap and semi-definite programming.
This paper studies the critical behavior of the 3d classical 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 <= 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 approximate to 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.
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