Schnabls L0 operator in the continuous basis

Fuchs, Ehud; Kroyter, Michael

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Schnabls L0 operator in the continuous basis

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Fuchs, Ehud
MPI for Gravitational Physics, Max Planck Society;

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Fuchs, E., & Kroyter, M. (2006). Schnabls L0 operator in the continuous basis. Journal of High Energy Physics, 2006(10): 067.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4C39-D

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.