PIRSA:23040083

Non-vector-bundle Thom spectra and applications to anomalies

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

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

          @misc{ pirsa_PIRSA:23040083,
            doi = {10.48660/23040083},
            url = {https://pirsa.org/23040083},
            author = {Debray, Arun},
            keywords = {Mathematical physics},
            language = {en},
            title = {Non-vector-bundle Thom spectra and applications to anomalies},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {apr},
            note = {PIRSA:23040083 see, \url{https://pirsa.org}}
          }

Arun Debray

University of Texas - Austin

Talk number
PIRSA:23040083
Collection
Talk Type
Subject
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