1208.6206 (Takayuki Baba et al.)

Energy from the gauge invariant observables    [PDF]

Takayuki Baba, Nobuyuki Ishibashi

For a classical solution |Psi> in Witten's cubic string field theory, the gauge invariant observable is conjectured to be equal to the difference of the one-point functions of the closed string state corresponding to V, between the trivial vacuum and the one described by |Psi>. If V is taken to be the graviton vertex operator with vanishing momentum, the gauge invariant observable is expected to be proportional to the energy of |Psi>. We prove this relation assuming that |Psi> satisfies equation of motion and some regularity conditions. We discuss how this relation can be applied to various solutions obtained recently.

View original: http://arxiv.org/abs/1208.6206