Geometric algebra techniques in flux compactifications


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}}

Calin Lazaroiu Horia Hulubei National Institute of Physics and Nuclear Engineering


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.