2004
DOI: 10.1088/1126-6708/2004/01/066
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Some exact computations on the twisted butterfly state in string field theory

Abstract: The twisted butterfly state solves the equation of motion of vacuum string field theory in the singular limit. The finiteness of the energy density of the solution is an important issue, but possible conformal anomaly resulting from the twisting has prevented us from addressing this problem. We present a description of the twisted regulated butterfly state in terms of a conformal field theory with a vanishing central charge which consists of the ordinary bc ghosts and a matter system with c = 26. Various quant… Show more

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Cited by 19 publications
(49 citation statements)
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“…This is in fact what Okawa found in [40] using the regularized (twisted) butterfly state [21,10] and representing it in the non-twisted CFT. In this way he showed that one can even reabsorb the open string coupling constant into a field redefinition of the kind (8.6), so that such a coupling constant is not a free parameter.…”
Section: Some Comments and Conclusionsupporting
confidence: 70%
See 1 more Smart Citation
“…This is in fact what Okawa found in [40] using the regularized (twisted) butterfly state [21,10] and representing it in the non-twisted CFT. In this way he showed that one can even reabsorb the open string coupling constant into a field redefinition of the kind (8.6), so that such a coupling constant is not a free parameter.…”
Section: Some Comments and Conclusionsupporting
confidence: 70%
“…Finally, our results in this paper may shed some light on a conclusion drawn in [40] concerning the validity of the EOM inside the action. From the formulas of Appendix C one can see that, if one insists in defining the dressed sliver as the strong limit ofΨ ǫ,ǫ =Ξ ǫ ⊗ Ξǫ for ǫ,ǫ → 1, it follows that lim ǫ→1,ǫ→1…”
Section: Some Comments and Conclusionsupporting
confidence: 58%
“…This completes the definition of the string field theory action. When the disk D is presented as a unit disk the functions f i in (111) are the functions given in equation (114). Let us now return to the computation of the tachyon action.…”
Section: Interaction Term Computationmentioning
confidence: 99%
“…So far, we only know f t (ξ) for sliver and butterfly states [23,25]. The ambiguity off t (ξ) is fixed up to a scale bỹ f t (0) = 0 andf t (1) = −f t (−1).…”
Section: The Leading Order Solution For General Star Algebra Projectorsmentioning
confidence: 99%
“…Level truncation, however, can only give solutions satisfying the equation of motion when contracted with the solutions themselves, as opposed to an arbitrary state in the Fock space a . A new approach b was developed by Okawa [22] who inserted operators at the middle point of the boundary of regulated butterfly states [23]- [26]. This approach has some similarities to level truncation.…”
Section: Introductionmentioning
confidence: 99%