Marginal deformations and classical solutions in open superstring field theory

Kishimoto, Isao; Takahashi, Tomohiko

doi:10.1088/1126-6708/2005/11/051

Cited by 25 publications

(68 citation statements)

References 65 publications

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“…with the data for the level (L, 3L) (L = 0, 2,4,6,8,10,12,14,16; N = 9), we find that the 'straightforward' extrapolation gives the vacuum energy at L = ∞ asẼ (2) with the data for the level (L, 3L) (L = 2, 6, 10, 14; N = 4). Then, the straightforward extrapolation gives the vacuum energy at L = ∞ as (1) F 5 (∞) = 0.98107 and (2) F 4 (∞) = 0.98146, respectively.…”

Section: §3 Emergence Of Unstable Vacuumsupporting

confidence: 61%

Vacuum Structure around Identity-Based Solutions

Kishimoto

Takahashi

2009

Progress of Theoretical Physics

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We explore the vacuum structure in bosonic open string field theory expanded around an identity-based solution parameterized by a (≥ −1/2). Analyzing the expanded theory using level truncation approximation up to level 14, we find that the theory has a stable vacuum solution for a > −1/2. The vacuum energy and gauge invariant overlap numerically approach those of the tachyon vacuum solution with increasing truncation level. We also find that, at a = −1/2, there exists an unstable vacuum solution in the expanded theory and it rapidly becomes the trivial zero configuration just above a = −1/2. The numerical behavior of the two gauge invariants suggests that the unstable solution corresponds to the perturbative open string vacuum. These results reasonably support the expectation that the identity-based solution is a trivial pure gauge configuration for a > −1/2, but it can be regarded as the tachyon vacuum solution at a = −1/2.Bosonic open string field theory 1) (SFT) has classical solutions describing a tachyon vacuum where D-branes with attached open strings completely annihilate. A numerical tachyon vacuum solution was first constructed using level truncation approximation in the Siegel gauge. 2)-5) Then, an analytic classical solution has been constructed by Schnabl 6) and it has been found that the solution possesses several properties of the tachyon vacuum. The vacuum energy of the nontrivial analytic solution exactly cancels the D-brane tension, 6)-8) and the cohomology of the kinetic operator around the vacuum is trivial. 9) There are also several attempts to construct tachyon vacuum solutions in superstring field theory as an extension of the bosonic solution. 10)-13)In SFT, there is another type of analytic solution that was constructed earlier on the basis of the identity string field instead of wedge states used in Schnabl's solution. 14)-24) An identity-based solution discussed in Refs. 14), 25)-27) involves one parameter a larger than or equal to −1/2. It is expected that the solution for a > −1/2 is a trivial pure gauge solution because of the following facts:1. The solution can be expressed as a pure gauge form connecting to a trivial configuration. 14) 2. The action obtained by expanding around the solution can be transformed back to the action with the original BRST charge. 14) 3. The new BRST charge gives rise to the cohomology, which has one-to-one correspondence to the cohomology of the original BRST charge. 25) 4. The expanded theory reproduces ordinary open string amplitudes. 27)

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Section: §3 Emergence Of Unstable Vacuumsupporting

confidence: 61%

Vacuum Structure around Identity-Based Solutions

Kishimoto

Takahashi

2009

Progress of Theoretical Physics

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“…Therefore let us investigate supersymmetry of this solution. Supersymmetry transformation of R-sector string field Ψ is given by [14] …”

Section: Solution In Superstring Field Theorymentioning

confidence: 99%

Fundamental string solutions in open string field theories

Michishita

2006

Phys. Rev. D

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In Witten's open cubic bosonic string field theory and Berkovits' superstring field theory we investigate solutions of the equations of motion with appropriate source terms, which correspond to Callan-Maldacena solution in Born-Infeld theory representing fundamental strings ending on the D-branes. The solutions are given in order by order manner, and we show some full order properties in the sense of α ′ -expansion. In superstring case we show that the solution is 1/2 BPS in full order.

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“…While the equation of motion is satisfied to all orders in the deformation parameter, a closed form expression for a solution satisfying the reality condition on the string field has not been presented in [21,25]. For earlier study of marginal deformations in string field theory, see [29]- [42].…”

Section: Introductionmentioning

confidence: 99%

Exact marginality in open string field theory: a general framework

Kiermaier

Okawa²

2009

J. High Energy Phys.

179

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We construct analytic solutions of open bosonic string field theory for any exactly marginal deformation in any boundary conformal field theory when properly renormalized operator products of the marginal operator are given. We explicitly provide such renormalized operator products for a class of marginal deformations which include the deformations of flat D-branes in flat backgrounds by constant massless modes of the gauge field and of the scalar fields on the D-branes, the cosine potential for a space-like coordinate, and the hyperbolic cosine potential for the time-like coordinate. In our construction we use integrated vertex operators, which are closely related to finite deformations in boundary conformal field theory, while previous analytic solutions were based on unintegrated vertex operators. We also introduce a modified star product to formulate string field theory around the deformed background.

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Marginal deformations and classical solutions in open superstring field theory

Cited by 25 publications

References 65 publications

Vacuum Structure around Identity-Based Solutions

Vacuum Structure around Identity-Based Solutions

Fundamental string solutions in open string field theories

Exact marginality in open string field theory: a general framework

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