Holomorphicity

I also want

where

and

are separately nilpotent symmetries, and moreover

is holomorphic and

antiholomorphic.

And I want the action of algebraic tori: and (holomorphic and antiholomorphic). I want their orbits to go through the singular locus, by scaling the bosonic ghosts to zero. The idea is that the bosonic ghosts are “infinitesimal”. Everything infinitesimal can be scaled. (But they take values in the cone, not in a linear space.)

The BRST operators should be charged under

and

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