Physical states at the tachyonic vacuum of open string field theory

Giusto, Stefano; Imbimbo, Camillo

doi:10.1016/j.nuclphysb.2003.10.037

Cited by 24 publications

(60 citation statements)

References 14 publications

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“…These are the null vectors responsible for the poles of the string field propagators. The approximately degenerate poles that we found numerically correspond in the exact theory to a null space 3 In [1] it was established that a certain number of different assignments for the relative cohomologies, all of which implied (1.5), were consistent with the long exact sequence. The analysis could not provide a unique possibility for the explicit representatives of the absolute cohomologies.…”

Section: Introduction Summary and Discussionmentioning

confidence: 64%

“…In [1] we explained what Sen's third conjecture implies for the gaugefixed quadratic OSFT action expanded around the stable vacuum: each pole of the open string field propagator should cancel with appropriate poles of the (second quantized) ghost string fields. To state it more precisely, let us denote by L (n) 0 (p) (where n = 0, 1, .…”

Section: Introduction Summary and Discussionmentioning

confidence: 95%

“…Let us denote by H (n) ( Q) the cohomology of Q on states of ghost number n. Because of (1.1), the zeros of the gauge-fixed kinetic operators also encode properties of Q acting on H (n) ( Q) with n different than zero. In [1] it was argued that the double pole of the propagator of the ghost-antighost string field pair at p 2 = −m 2 scalar,− , although consistent with the vanishing of H (0) ( Q), requires as well that…”

Section: Introduction Summary and Discussionmentioning

confidence: 99%

“…At the same time, the arguments developed in [1] imply that non-empty cohomologies at non-standard ghost numbers must exist in the vector sectors as well as in the scalar sector. Since this conclusion is somewhat unexpected and appears to contradict other works [11], [12], [16], we reconsider and strengthen in the present paper the analysis of [1], which relates the double pole of the ghost-antighost string field pair to non-vanishing cohomologies at non-standard ghost numbers.…”

Section: Introduction Summary and Discussionmentioning

confidence: 99%

“…The first argument was already developed in [1]. If Q(p) has non-vanishing cohomologies for discrete values of p 2 only and H (0) ( Q) = 0, then the following equation must hold in the exact theory…”

Section: Introduction Summary and Discussionmentioning

confidence: 99%

See 4 more Smart Citations

The spectrum of open string field theory at the stable tachyonic vacuum

Imbimbo¹

2007

Nuclear Physics B

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We present a level (10,30) numerical computation of the spectrum of quadratic fluctuations of Open String Field Theory around the tachyonic vacuum, both in the scalar and in the vector sector. Our results are consistent with Sen's conjecture about gauge-triviality of the small excitations. The computation is sufficiently accurate to provide robust evidence for the absence of the photon from the open string spectrum. We also observe that ghost string field propagators develop double poles. We show that this requires non-empty BRST cohomologies at non-standard ghost numbers. We comment about the relations of our results with recent work on the same subject.

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Section: Introduction Summary and Discussionmentioning

confidence: 64%

Section: Introduction Summary and Discussionmentioning

confidence: 95%

Section: Introduction Summary and Discussionmentioning

confidence: 99%

Section: Introduction Summary and Discussionmentioning

confidence: 99%

Section: Introduction Summary and Discussionmentioning

confidence: 99%

See 3 more Smart Citations

The spectrum of open string field theory at the stable tachyonic vacuum

Imbimbo¹

2007

Nuclear Physics B

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Light-like tachyon condensation in open string field theory

Hellerman

Schnabl

2013

J. High Energ. Phys.

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We use open string field theory to study the dynamics of unstable branes in the bosonic string theory, in the background of a generic linear dilaton. We find a simple exact solution describing a dynamical interpolation between the perturbative vacuum and the recently discovered nonperturbative tachyon vacuum. In our solution, the open string tachyon increases exponentially along a null direction, after which nonlinearities set in and cause the solution to asymptote to a static state. In particular, the wild oscillations of the open string fields which plague the time-like rolling tachyon solution are entirely absent. Our model thus represents the first example proving that the true tachyon vacuum of open string field theory can be realized as the endpoint of a dynamical transition from the perturbative vacuum. n k=1 P (z 2 ,z 2 ; y k ,ȳ k ) Differentiating with respect to z 1 andz 2 and setting z 1 = z 2 = 0, we find n j=1

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BV analysis of tachyon fluctuation around multi-brane solutions in cubic string field theory

Hata

2016

J. High Energ. Phys.

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We study whether the tachyon mode exists as a physical fluctuation on the 2-brane solution and on the tachyon vacuum solution in cubic open string field theory. Our analysis is based on the Batalin-Vilkovisky formalism. We first construct a set of six string states which corresponds to the set of fields and anti-fields containing the tachyon field. Whether the tachyon field can exist as a physical fluctuation is determined by the 6 × 6 matrix defining the anti-bracket in the present sector. If the matrix is degenerate/nondegenerate, the tachyon field is physical/unphysical. Calculations for the pure-gauge type solutions in the framework of the KBc algebra and using the K ε -regularization lead to the expected results. Namely, the matrix for the anti-bracket is degenerate/non-degenerate in the case of the 2-brane/tachyon-vacuum solution. Our analysis is not complete, in particular, in that we have not identified the four-fold degeneracy of tachyon fluctuation on the 2-brane solution, and moreover that the present six states do not satisfy the hermiticity condition.

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Physical states at the tachyonic vacuum of open string field theory

Cited by 24 publications

References 14 publications

The spectrum of open string field theory at the stable tachyonic vacuum

The spectrum of open string field theory at the stable tachyonic vacuum

Light-like tachyon condensation in open string field theory

BV analysis of tachyon fluctuation around multi-brane solutions in cubic string field theory

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