PIRSA:24090105

Video URL

https://pirsa.org/24090105

A new tangential structure for type IIA string theory

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

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

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2024},
            month = {sep},
            note = {PIRSA:24090105 see, \url{https://scivideos.org/index.php/pirsa/24090105}}
          }

Matthew Yu University of Oxford

Talk numberPIRSA:24090105
DOI10.48660/24090105
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

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.