# The anomaly of the duality symmetry in type IIB string theory

### APA

Debray, A. (2021). The anomaly of the duality symmetry in type IIB string theory. Perimeter Institute. https://pirsa.org/21110024

### MLA

Debray, Arun. The anomaly of the duality symmetry in type IIB string theory. Perimeter Institute, Nov. 19, 2021, https://pirsa.org/21110024

### BibTex

@misc{ pirsa_21110024, doi = {}, url = {https://pirsa.org/21110024}, author = {Debray, Arun}, keywords = {Mathematical physics}, language = {en}, title = {The anomaly of the duality symmetry in type IIB string theory}, publisher = {Perimeter Institute}, year = {2021}, month = {nov}, note = {PIRSA:21110024 see, \url{https://pirsa.org}} }

## Abstract

Type IIB string theory has a duality symmetry given by the pin+ cover of GL(2, Z). In joint work with Markus Dierigl, Jonathan J. Heckman, and Miguel Montero, we show that this symmetry is anomalous, and describe how to cancel the anomaly, up to a few calculations we were unable to determine, by adding a Chern-Simons term. I will talk about the setup of the problem in terms of computing the partition function of an invertible topological field theory; a sketch of how the computation goes in terms of bordism and the Adams spectral sequence; and how we cancel the anomaly.