There was a lack of accessible resources to learn the relation between mathematical theory of topological modular forms (TMF) and 2d N=(0,1) supersymmetric quantum field theories (SQFT). To ameliorate this issue, I gave an ad hoc series of 9 lectures (90 minutes each) at IPMU, from June to August 2026. I thank the audience members for valuable feedbacks.
Lecture notes are available at this Overleaf repository. It is very rough, although it contains most of the materials I intended to cover. I intend to polish it in the coming months. Comments are welcomed.
Video recordings of the lectures are also availbale at this YouTube playlist, but the video quality is terrible, due to my setting errors.
A lecture was given whenever I finished preparing for that particular lecture (and probably the next). So the schedule was very random and spontaneous. I thank the audience members to have attended nonetheless.
| Date | Summary | |
|---|---|---|
| 1. | June 22 | General introduction |
| 2. | June 25 | Ordinary elliptic genus |
| 3. | July 6 | The equivalence relation, part I |
| 4. | July 7 | The equivalence relation, part II |
| 5. | July 9 | Mod-2 elliptic genus |
| 6. | July 14 | Secondary invariants |
| 7. | July 16 | Absence of heterotic anomalies |
| 8. | August 4 | Green-Schwarz coupling and the tertiary invariant |
| 9. | August 6 | Additional symmetries |
email: yuji.tachikawa_at_ipmu.jp