Butterfly Tachyons in Vacuum String Field Theory
Peter Matlock
TL;DR
This paper employs conformal field theory techniques to analyze tachyon fluctuations in Vacuum String Field Theory, proposing the butterfly state as a D-brane candidate and exploring its tension to support this interpretation.
Contribution
It introduces a geometrical approach to tachyon analysis in Vacuum String Field Theory and suggests the butterfly state as a D-brane, extending previous work on the sliver state.
Findings
On-shell condition for tachyons matches quadratic term vanishing
Butterfly state interpreted as a D-brane candidate
Preliminary tension calculation supports D-brane interpretation
Abstract
We use geometrical conformal field theory methods to investigate tachyon fluctuations about the butterfly projector state in Vacuum String Field Theory. We find that the on-shell condition for the tachyon field is equivalent to the requirement that the quadratic term in the string-field action vanish on shell. This further motivates the interpretation of the butterfly state as a D-brane. We begin a calculation of the tension of the butterfly, and conjecture that this will match the case of the sliver and further strengthen this interpretation.
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