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

Leonardo Rastelli | Zendy; Ashoke Sen | Zendy; Barton Zwiebach | Zendy

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

Author(s) -

Leonardo Rastelli,

Ashoke Sen,

Barton Zwiebach

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/02/034

Subject(s) - tachyon , physics , string field theory , vertex (graph theory) , theoretical physics , state (computer science) , string (physics) , brane , mathematical physics , computation , field (mathematics) , operator (biology) , field theory (psychology) , classical mechanics , mathematics , pure mathematics , combinatorics , algorithm , graph , biochemistry , chemistry , repressor , transcription factor , gene

We discuss the proposal of Hata and Kawano for the tachyon fluctuation arounda solution of vacuum string field theory representing a D25 brane. We give aconformal field theory construction of their state -- a local insertion of atachyon vertex operator on the sliver surface state, and explain why theon-shell momentum condition emerges correctly. We also show that a naivecomputation of the D25-brane tension using data for the three point coupling ofthis 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 theHK state does not satisfy the equations of motion in a strong sense requiredfor the computation of D-brane tension from the on-shell 3-tachyon coupling.Comment: 16 pages, LaTe

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