Type II Structure
1 Definition and local flatness
This is mostly analogous to the Heterotic Structure:
Instead of
we consider 
Instead of
we must have 
(an odd distribution)
So, the Type II structure consists of two odd distributions 
and
on , which must satisfy:
and
on , which must satisfy:
We will for now assume that both and are everywhere nondegenerate.
and are everywhere nondegenerate.Local flatness means that locally on we can assume that and
are generated by the following vector fields 
and 
:
we can assume that and
are generated by the following vector fields and :
The proof is similar to
heterotic.
2 Worldsheet action
This is, again, analogous to heterotic:
|
