A Note on a Proposal for the Tachyon State in Vacuum String Field Theory

Abstract

We discuss the proposal of Hata and Kawano for the tachyon fluctuation around a solution of vacuum string field theory representing a D25 brane. We give a conformal field theory construction of their state -- a local insertion of a tachyon vertex operator on the sliver surface state, and explain why the on-shell momentum condition emerges correctly. We also show that a naive computation of the D25-brane tension using data for the three point coupling of this state gives an answer that is $({\pi }^2/3)(16/27\ln 2{)}^3\simeq 2.0558$ times the expected answer. We demonstrate that this problem arises because the HK state does not satisfy the equations of motion in a strong sense required for the computation of D-brane tension from the on-shell 3-tachyon coupling.

16 pages, LaTeX

References in corpus (4)

• Boundary CFT Construction of D-branes in Vacuum String Field Theory
• The singular geometry of the sliver
• Open String States around a Classical Solution in Vacuum String Field Theory
• Observables as Twist Anomaly in Vacuum String Field Theory

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• Exact Results on Twist Anomaly
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• Gauge Structure of Vacuum String Field Theory
• Exact Results on Equations of Motion in Vacuum String Field Theory