Target Space
Equivalently: let us consider a fixed representation of
and consider the space of maps
In terms of the previous slide:
The fiber of is some orbit of the following action of :
(there is no preferred point on the orbit)
The target space of our sigma-model is a cone in the associated vector bundle:
The target space of our sigma-model is a cone in the associated vector bundle:
What can we say about the action of on this target space? We postulate
the action on the matter fields:
This is without loss of generality; we can just say that this is the definition
of the pure spinor coordinates and
And how does act on and ?