where |B([PSI])> is a boundary state specified by an OSFT solution [PSI].
An OSFT around a D-gD pair is completely equivalent to that around the tachyon vacuum since their cohomologies are identical.
For an illustration, we consider OSFT action around the tachyon vacuum by expanding the fluctuation in terms of (32):
This assignment comes from the fact that a component of string field in each sector obeys appropriate kinetic term in the OSFT action expanded around (53).
Multiple gD-branes constructed in Section 3 make the spectrum of OSFT unbounded below.
Second question asks about difference between the original picture of  and OSFT prescription.