Dongmin Gang - Non-unitary Bulk-Boundary correspondence

Dongmin Gang - Non-unitary Bulk-Boundary correspondence

by Dongmin Gang · View the channel on PSI

Formal & Physical Sciences Physics PHFMaterialsPHFCCondensed matter physics (liquid state and solid state physics)
🎙 Dongmin Gang 👥 81K 📅 September 21, 2026 ⏱ 54 min 👁 2K 📄 original study 🧭 2026-10-15
Available in: English (current) Français

Keywords

non-unitary TQFTRCFTbulk-boundarytopological twistlength-zero SCFT

Summary

The talk, given by Dongmin Gang, reviews recent work extending the bulk–boundary correspondence between 3D topological quantum field theories (TQFTs) and 2D rational conformal field theories (RCFTs) to non-unitary settings. Gang begins by recalling the unitary case, exemplified by the Chern–Simons/Wess–Zumino–Witten correspondence. The central idea is to realize non-unitary TQFTs as topological twists of a class of 3D N=4 superconformal field theories called length-zero SCFTs, which have trivial Coulomb and Higgs branches. The simplest example, the T-minimal theory, is presented with its UV description. Using localization techniques, the modular data and character formulas of the resulting boundary theories are computed, matching known non-unitary models such as the Lee–Yang minimal model. The talk also discusses the half-index computation to extract vacuum characters. As an application, the 3D-3D correspondence is employed when the three-manifold is a once-punctured torus, yielding a new family of rational vertex operator algebras. The talk concludes with a summary and outlook. The presentation is dense and highly technical, aimed at researchers in mathematical physics.

166 words

Critical Evaluation

Value of the Information & Strength of the Argument

The talk provides a coherent framework for constructing non-unitary RCFTs from topologically twisted 3D N=4 SCFTs. The argumentation is based on concrete computations: modular data extracted via localization, and character checks using half-index calculations. The evidence is strong and cross-checked with known examples. The use of the 3D-3D correspondence adds a predictive tool, leading to new families. The reasoning is rigorous and well-supported.

Scientific Rigor, Source Quality, Title Accuracy

The talk appears to be an original research presentation. The sources are implicit (previous work by the speaker and collaborators) and not explicitly cited in the transcript. The only external link is to the Carmin platform. The title is accurate and descriptive. No discordant sources are mentioned. The audience is specialized; the content is mathematically precise.

134 words

Title / Content Match

Title accurately reflects the content—a presentation on extending bulk-boundary correspondence to non-unitary cases.

Quality & Reliability

8/10

Technical research talk presenting original results with rigorous derivations and cross-checks, though not all claims are fully detailed in the available transcript.

Key Moments

Markers derived by PSI from the transcript: the creator did not define chapters.

Cited Sources

  • Carmin TV — Video platform that hosts scientific talks in mathematics and related fields.

Contribution & Novelties

The talk introduces a systematic approach to construct non-unitary TQFTs as topological twists of length-zero SCFTs, providing explicit dictionaries and modular data checks. It also demonstrates how this leads to new rational vertex operator algebras via the 3D-3D correspondence. The work bridges advanced mathematical physics with concrete computational techniques.

Pour aller plus loin :

91 words

Radar Profile

The radar profile shows high scores in quantity and quality of information, and technical level, with slightly lower reliability due to limited explicit citations. This reflects a dense, rigorous research talk intended for specialists.

Reliability 8/10