Action of diffeomorphisms
The worldsheet theory of the pure spinor superstring does not contain the
worldsheet metric. This means that the action of the sigma-model is not invariant
under diffeomorphisms. However, it is
invariant up to a BRST exact expression:
|
To set up the basic BV machinery, we have to answer the following questions:
Is it possible to construct the symmetry generator
?Is it true that exists
such that 
?If
exist, is it true that satisfy
our constraint 
?
According to BerkovitsChandia the 
-ghost in a general curved background is only holomorphic (on-shell)
up to 
of something.
This implies that must
start with the term constant in antifields
(unlike bosonic string).
-ghost in a general curved background is only holomorphic (on-shell)
up to of something.
This implies that must
start with the term constant in antifields
(unlike bosonic string).