BV formalism
1 The BV action
where 
was defined previously
was defined previously
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It would seem to be natural to use
, instead of
, to denote the antifield of
. But in practice such a notation turns out to be absolutely disastrous.
The previously discussed local rescaling symmetries of
are extended to the BV action:
are extended to the BV action:
2 Relation to standard notations for antifields
is an auxiliary field, and we will integrate it out.
In other words, the only dynamical component of 
is 
. When we insert
some operator, we should take care to only insert via the combination .
We are left with 
and 
.
In PerturbativeSuperstringTheoryRevisited,
is called 
and 
is called 
;
we agree with their Equation (3.20).
3 BV Hamiltonian vector in flat point
BV Hamiltonian | generates |
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