CMSA Special Seminar: Topological modular forms and heretoric string theory


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September 29, 2023 2:00 pm - 3:00 pm
CMSA, 20 Garden St, G10
Address: 20 Garden Street, Cambridge, MA 02138

Mayuko Yamashita - Kyoto University

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.

This seminar will be held in person and on Zoom:

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