The three-dimensional classical O(N) model with a boundary has received renewed interest due to the discovery of the extraordinary-log boundary universality class for 2≤N<Nc. The critical value Nc and the exponent of the boundary correlation function are related to certain amplitudes in the normal universality class. To determine their precise values, we revisit the 3d O(N) boundary conformal field theory for N=1,2,3,4,5. After substantially improving the accuracy of the boundary bootstrap, our determinations are in excellent agreement with the Monte Carlo results, resolving the previous discrepancies due to low truncation orders. We also use the recent bulk bootstrap results to deduce highly accurate Ising data. Many bulk and boundary predictions are obtained for the first time. Our results demonstrate the great potential of the η minimization method for many unexplored bootstrap problems in which positivity constraints are absent.

Biography

Wenliang Li is a Professor at the School of Physics, Sun Yat-sen University. He earned his Bachelor's degree from Sun Yat-sen University, his Master's degree from the École Normale Supérieure in Paris, and his Ph.D. from Paris Diderot University (University of Paris VII). He subsequently held postdoctoral positions at the University of Crete in Greece, Seoul National University and Kyung Hee University in South Korea, and the Okinawa Institute of Science and Technology Graduate University in Japan. He has been a faculty member at Sun Yat-sen University since 2021. In recent years, his research has focused on investigating strongly coupled phenomena in high-energy physics and condensed matter physics by developing novel bootstrap methods.

Inviter: Shao-Jiang Wang