孙子墨  博士学术报告

Title: Ginzburg–Landau Descriptions of Some Non-Diagonal Minimal Models

Speaker: Zimo Sun (孙子墨)

Affiliation: Institute for Advanced Study, Princeton（普林斯顿高等研究院）

Time: 15:00-16:00, Monday, 7th September, 2026 (UTC+8, Beijing Time)

Venue: Room 1502, Shing-Tung Yau Center, Sipailou Campus of Southeast University（东南大学四牌楼校区丘成桐中心1502室）

Inviter: Qiang Wen（文强）

Abstract

The seminal work of Belavin, Polyakov and Zamolodchikov produced an infinite family of exactly solvable two-dimensional conformal field theories, the Virasoro minimal models. Lagrangian descriptions have remained largely restricted to the unitary series, the only well-established non-unitary example being the M(2,5) Yang–Lee CFT.

In this talk I will present Ginzburg–Landau (GL) Lagrangians for the D-type modular invariants of the M(3,8) and M(3,10) minimal models, built from two scalar fields with cubic interactions and imaginary couplings. I will then discuss a supersymmetric generalization, which yields a GL description of the exceptional (E₆, D₈) modular invariant of the N=1 superconformal minimal model SM(12,14). Continued to three dimensions, this supersymmetric Lagrangian predicts a new unitary supersymmetric CFT.

Speaker

孙子墨，本科毕业于北京大学，博士毕业于哥伦比亚大学，目前是普林斯顿高等研究院博士后。