Speaker: Yuan Xin (SIMIS)
Time: 2025-10-13 16:00-18:00
Location: 1110, SIMIS
Zoom Meeting ID: 878 8666 2871 Passcode: 007694
Abstract: Yang-Lee criticality is the simplest non-Hermitian conformal field theory. The model was first reported as a phase transition of Ising model in imaginary longitudinal magnetic field more than half a century ago. Since then, many qualitative and quantitative properties of YL criticality have been studied, remarkably, including the fact that the model can be described in Landau-Ginzburg scheme with a scalar $i\phi^3$ theory in $D<6$ and the fact that the 2D version is an exactly solvable minimal model. In higher dimensions, the model lacks the same level of understanding as the Ising criticality due to its non-Hermitian nature. We report a new study of 3D YL criticality as a phase transition of Fuzzy Sphere model, which facilitates a direct survey of many quantities such as the spectrum and OPE coefficient to high precision. These quantitative results show a beautiful agreement with conformal symmetry and previous estimates from $(6-\epsilon)$ expansion, high temperature expansion and conformal bootstrap. We also discuss possible approaches in dimensions higher than 3.
About Speaker: Yuan Xin is currently an Assistant Professor at SIMIS. He completed his PhD at Boston University in 2020, under the supervision of Professor Liam Fitzpatrick, and was a postdoctoral fellow at Yale University until 2023, and then at Carnegie Mellon University until 2025. His main areas of research comprise bootstrap, Hamiltonian truncation, and DMRG to study low dimension quantum systems.
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