Schnabl's L_0 Operator in the Continuous Basis

Details Schnabl's L_0 Operator in the Continuous Basis Schnabl's L_0 Operator in the Continuous Basis

2006-05-25

arxiv.org/abs/hep-th/0605254v2

JHEP0610:067,2006

Physics

High Energy Physics

High Energy Physics - Theory

1+16 pages. JHEP style. Typos corrected

Scientific paper

10.1088/1126-6708/2006/10/067

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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