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Schnabl's L_0 Operator in the Continuous Basis
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abstract
Following Schnabl's analytic solution to string field theory, we calculate the operators ${\cal L}_0,{\cal L}_0^\dagger$ for a scalar field in the continuous $\kappa$ basis. We find an explicit and simple expression for them that further simplifies for their sum, which is block diagonal in this basis. We generalize this result for the bosonized ghost sector, verify their commutation relation and relate our expressions to wedge state representations.
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Numerical solution for tachyon vacuum in the Schnabl gauge
A new level-truncation method reaches level 24 in the Schnabl gauge and shows the tachyon vacuum energy has a local minimum at level 12 before extrapolating toward the analytic value -1.
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