Affiliation:
1. The Ohio State University
2. Massachusetts Institute of Technology
3. University of Geneva
Abstract
This paper studies the critical behavior of the 3d classical
O(N)(N)
model with a boundary. Recently, one of us established that upon
treating NN
as a continuous variable, there exists a critical value
N_c > 2Nc>2
such that for 2 \leq N < N_c2≤N<Nc
the model exhibits a new extraordinary-log boundary universality class,
if the symmetry preserving interactions on the boundary are enhanced.
N_cNc
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 5Nc≈5.
Additionally, we use semi-definite programming to place rigorous bounds
on the boundary CFT data of interest to conclude that
N_c > 3Nc>3,
under a certain positivity assumption which we check in various
perturbative limits.
Funder
National Science Foundation
Paul and Daisy Soros Fellowships for New Americans
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Subject
General Physics and Astronomy
Cited by
31 articles.
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