# A new tangential structure for type IIA string theory

### APA

Yu, M. (2024). A new tangential structure for type IIA string theory. Perimeter Institute. https://pirsa.org/24090105

### MLA

Yu, Matthew. A new tangential structure for type IIA string theory. Perimeter Institute, Sep. 05, 2024, https://pirsa.org/24090105

### BibTex

@misc{ pirsa_PIRSA:24090105, doi = {10.48660/24090105}, url = {https://pirsa.org/24090105}, author = {Yu, Matthew}, keywords = {Mathematical physics}, language = {en}, title = {A new tangential structure for type IIA string theory}, publisher = {Perimeter Institute}, year = {2024}, month = {sep}, note = {PIRSA:24090105 see, \url{https://pirsa.org}} }

**Collection**

**Subject**

The Green-Schwarz anomaly cancellation condition says that the target space of heterotic string theory must come with a string structure for the theory to be consistent. In this talk we discuss a new tangential structure called string^h, first introduced by Devalapurkar, as a spin^c analogue of string. We will show that the spectrum of string^h has the notable property that it orients tmf_1(n), just like how the spectrum of string orients tmf, by the work of Ando-Hopkins-Rezk. Finally we will show that the anomaly of the partition function of type IIA, studied by Diaconescu-Moore-Witten induces a string^h structure on the target space of type IIA, in parallel to the Green-Schwarz anomaly for heterotic string theory, and discuss applications for anomaly cancellation. This is joint work in progress with Arun Debray.