## Video URL

http://pirsa.org/23040083# Non-vector-bundle Thom spectra and applications to anomalies

### APA

Debray, A. (2023). Non-vector-bundle Thom spectra and applications to anomalies. Perimeter Institute for Theoretical Physics. http://pirsa.org/23040083

### MLA

Debray, Arun. Non-vector-bundle Thom spectra and applications to anomalies. Perimeter Institute for Theoretical Physics, Apr. 06, 2023, http://pirsa.org/23040083

### BibTex

@misc{ scivideos_PIRSA:23040083, doi = {}, url = {http://pirsa.org/23040083}, author = {Debray, Arun}, keywords = {Mathematical physics}, language = {en}, title = {Non-vector-bundle Thom spectra and applications to anomalies}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2023}, month = {apr}, note = {PIRSA:23040083 see, \url{https://scivideos.org/PIRSA/23040083}} }

Arun Debray University of Texas - Austin

## Abstract

There is a by now standard procedure for calculating twisted spin, spin^c, and string bordism groups for applications in physics: realize the twist as arising from a vector bundle, which allows one to split the corresponding Thom spectrum and greatly simplify the Adams spectral sequence computation. Not all twists arise from vector bundles, but Matthew Yu and I noticed that if you ignore this fact and pretend that everything is OK, you still get the right answer! In this talk, I'll discuss a theorem Matthew and I proved explaining this, by calculating the input to Baker-Lazarev's version of the Adams spectral sequence. Then I will discuss applications to anomalies of some quantum field theories and supergravity theories.

Zoom link: https://pitp.zoom.us/j/93508575689?pwd=YVV6VlRwL1RGSG55V0cwTzdpUWROUT09