Solution of Master Equation
The fundamental fields of the worldsheet theory are: matter fields 
,
complex structure 
and the diffeomorphism ghosts 
.
The matter part of the action depends on matter fields and complex structure:
|
Following the general scheme, we find the solution of the Master Equation:
Remember that there is a constraint on 
. In components 
.
The antifield 
can be identified with a symmetric tensor 
with
only nonzero components 
and 
(which are also denoted 
and 
.)
The coupling to 
is defined as follows:
. In components .
The antifield can be identified with a symmetric tensor with
only nonzero components and (which are also denoted and .)
The coupling to is defined as follows:
