Topological modular forms and heretoric string theory

PIRSA ID: 23100074
Event Type: Seminar
Scientific Area(s):
Mathematical Physics
End date:
  • Mayuko Yamashita

In this talk I will explain my works with Y. Tachikawa to study anomaly in heterotic string theory via homotopy theory, especially the theory of Topological Modular Forms (TMF). TMF is an E-infinity ring spectrum which is conjectured by Stolz-Teichner to classify two-dimensional supersymmetric quantum field theories in physics. In the previous work (, we proved the vanishing of anomalies in heterotic string theory mathematically by using TMF. Furthermore, we have a recent update ( on the previous work. Because of the vanishing result, we can consider a secondary transformation of spectra, which is shown to coincide with the Anderson self-duality morphism of TMF. This allows us to detect subtle torsion phenomena in TMF by differential-geometric ways, and leads us to new conjectures on the relation between VOAs and TMF.


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