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Comments on marginal deformations in open string field theory
"... In this short letter we present a class of remarkably simple solutions to Witten’s open string field theory that describe marginal deformations of the underlying boundary conformal field theory. The solutions we consider correspond to dimensionone matter primary operators that have nonsingular ope ..."
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Cited by 66 (2 self)
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In this short letter we present a class of remarkably simple solutions to Witten’s open string field theory that describe marginal deformations of the underlying boundary conformal field theory. The solutions we consider correspond to dimensionone matter primary operators that have nonsingular operator products with themselves. We briefly discuss application to rolling tachyons. 1 1
Exact marginality in open string field theory: a general framework
, 2007
"... 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 ma ..."
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Cited by 53 (6 self)
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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 Dbranes in flat backgrounds by constant massless modes of the gauge field and of the scalar fields on the Dbranes, the cosine potential for a spacelike coordinate, and the hyperbolic cosine potential for the timelike 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
The closed string tadpole in open string field theory
"... We compute a class of gauge invariant observables for marginal solutions and the tachyon vacuum. In each case we find that the observables are related in a simple way to the closedstring tadpole on a disk with appropriate boundary conditions. We give a sketch of an argument that this result should h ..."
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Cited by 53 (1 self)
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We compute a class of gauge invariant observables for marginal solutions and the tachyon vacuum. In each case we find that the observables are related in a simple way to the closedstring tadpole on a disk with appropriate boundary conditions. We give a sketch of an argument that this result should hold in general using the BRST invariance of the closed string twopoint function. Finally, we discuss the analogous set of invariants in the Berkovits superstring field theory.
General marginal deformations in open superstring field theory
, 2007
"... We construct analytic solutions of open superstring field theory for any exactly marginal deformation in any boundary superconformal field theory when properly renormalized operator products of the marginal operator are given. Our construction is an extension of the general framework for marginal de ..."
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Cited by 40 (6 self)
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We construct analytic solutions of open superstring field theory for any exactly marginal deformation in any boundary superconformal field theory when properly renormalized operator products of the marginal operator are given. Our construction is an extension of the general framework for marginal deformations developed in arXiv:0707.4472 for open bosonic string field theory, and the solutions are based on integrated vertex operators which are closely related to finite deformations in boundary superconformal field theory.
Analytical Solutions of Open String Field Theory
, 2008
"... In this work we review Schnabl’s construction of the tachyon vacuum solution to bosonic covariant open string field theory and the results that followed. We survey the state of the art of string field theory research preceding this construction focusing on Sen’s conjectures and the results obtained ..."
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Cited by 36 (8 self)
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In this work we review Schnabl’s construction of the tachyon vacuum solution to bosonic covariant open string field theory and the results that followed. We survey the state of the art of string field theory research preceding this construction focusing on Sen’s conjectures and the results obtained using level truncation methods. The tachyon vacuum solution is described in various ways, in particular we describe its geometric representation using wedge states and its formal algebraic representation as a gauge solution. We also derive the form of the solution’s building blocks in the oscillator representation. We show that some of Sen’s conjectures can be proven analytically using this solution. The tools used in the context of the vacuum solution can be adapted to the construction of other solutions, namely various marginal deformations. We present some of the approaches used in the construction of these solutions. The generalization to open superstring field theory is derived in details. We start from the exposition of the problems one faces in the construction of superstring field
Marginal deformations in string field theory
 JHEP 09 (2007) 101, [arXiv:0704.2222 [hepth]]. (Cited on
"... Abstract: We describe a method for obtaining analytic solutions corresponding to exact marginal deformations in open bosonic string field theory. For the photon marginal deformation we have an explicit analytic solution to all orders. Our construction is based on a pure gauge solution where the gau ..."
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Abstract: We describe a method for obtaining analytic solutions corresponding to exact marginal deformations in open bosonic string field theory. For the photon marginal deformation we have an explicit analytic solution to all orders. Our construction is based on a pure gauge solution where the gauge field is not in the Hilbert space. We show that the solution itself is nevertheless perfectly regular. We study its gauge transformations and calculate some coefficients explicitly. Finally, we discuss how our method can be implemented for other marginal deformations.
Rolling to the tachyon vacuum in string field theory
, 2007
"... We argue that the rollingtachyon solution in cubic OSFT proceeds at late times to precisely the analytic tachyonvacuum solution constructed by Schnabl. In addition, we demonstrate the relationship between the rollingtachyon solution and the standard BCFT description by showing that there is a fin ..."
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Cited by 35 (2 self)
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We argue that the rollingtachyon solution in cubic OSFT proceeds at late times to precisely the analytic tachyonvacuum solution constructed by Schnabl. In addition, we demonstrate the relationship between the rollingtachyon solution and the standard BCFT description by showing that there is a finite gauge transformation which relates the two.
Singular gauge transformations in string field theory
, 903
"... We show that the existence of a tachyon vacuum puts tight restrictions on the form of solutions to the equations of motion of string field theory. In particular, we demonstrate that every solution can be written as a – formal – gauge transformation of the tachyon vacuum. In order for a solution to b ..."
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Cited by 30 (0 self)
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We show that the existence of a tachyon vacuum puts tight restrictions on the form of solutions to the equations of motion of string field theory. In particular, we demonstrate that every solution can be written as a – formal – gauge transformation of the tachyon vacuum. In order for a solution to be nontrivial, this gauge transformation must be singular and we argue that this will happen when the gauge transformation annihilates a projector of the staralgebra. We comment on possible applications of the formalism to finding new solutions. Contents 1
Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory
, 2008
"... We investigate the string field theory around the tachyon vacuum. A pure gauge form of the solution is constructed at the tachyon vacuum. For a special choice of the gauge function for the pure gauge form, marginal deformation from the tachyon vacuum is allowed due to the nontrivial roles of Schnabl ..."
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Cited by 26 (1 self)
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We investigate the string field theory around the tachyon vacuum. A pure gauge form of the solution is constructed at the tachyon vacuum. For a special choice of the gauge function for the pure gauge form, marginal deformation from the tachyon vacuum is allowed due to the nontrivial roles of Schnabl’s analytic vacuum solution. We obtain an exact rolling tachyon solution which describes the late time behaviors of Dbrane decay.