PIRSA:23040083 Scientific Series Mathematical physics

DOI10.48660/23040083

Series: Mathematical Physics

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}}
}

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

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