Worldsheet velocities
In particular, we have a natural basis .
Let us decompose using this basis:
Here denotes (for now...) the -component.
On the right hand side, the first line contains the -component, and the second line
the non-vertical components.
Again, it makes sense to ask what is . I have shown
my paper (in a rather roundabout manner) that
is the matter part of the worldsheet field
from the action (10), which is related to the charge density of
the BRST transformation :