PIRSA:12110058 Scientific Series Mathematical physics

DOI10.48660/12110058

Series: Strings Group Meeting

Lazaroiu, C. (2012). Geometric algebra techniques in flux compactifications. Perimeter Institute. https://pirsa.org/12110058

Lazaroiu, Calin. Geometric algebra techniques in flux compactifications. Perimeter Institute, Nov. 09, 2012, https://pirsa.org/12110058 

@misc{ pirsa_PIRSA:12110058,
  doi = {10.48660/12110058},
  url = {https://pirsa.org/12110058},
  author = {Lazaroiu, Calin},
  keywords = {Mathematical physics},
  language = {en},
  title = {Geometric algebra techniques in flux compactifications},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {nov},
  note = {PIRSA:12110058 see, \url{https://pirsa.org}}
}

Abstract

Using techniques originating in a certain approach to Clifford bundles known as "geometric algebra", I discuss a geometric reformulation of constrained generalized Killing spinor equations which proves to be particularly effective in the study and classification of supersymmetric flux compactifications of string and M-theory. As an application, I discuss the most general N=2 compactifications of M-theory to three dimensions, which were never studied in full generality before. I also touch upon the connection of such techniques with a certain variant of the quantization of spin systems.

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