Speaker
Description
My aim will be to explain some relatively well-known (and then less-known) geometric constructions linking structures of the type appearing in double field theory to spinors. The well-known example is that of a split signature metric on a vector space together with a choice of a maximal totally null subspace as encoded by a real pure spinor. But I will also describe less-known examples when the metric together with (a unit) spinor is encoded by a collection of certain differential forms. I will describe how going up in dimension necessitates considering impure spinors, and how these bring with themselves even more interesting geometry. My plan is to end with an example in 14 dimensions, with a split signature metric, where a generic real spinor can be shown to encode the second (dynamical) metric of double field theory.
I hope to be able to make this talk interesting to anyone familiar with generalised geometry and/or double field theory.
