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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
Analytic solutions for marginal deformations in open string field theory
, 2007
"... We develop a calculable analytic approach to marginal deformations in open string field theory using wedge states with operator insertions. For marginal operators with regular operator products, we construct analytic solutions to all orders in the deformation parameter. In particular, we construct a ..."
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Cited by 65 (9 self)
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We develop a calculable analytic approach to marginal deformations in open string field theory using wedge states with operator insertions. For marginal operators with regular operator products, we construct analytic solutions to all orders in the deformation parameter. In particular, we construct an exact timedependent solution that describes Dbrane decay and incorporates all α' corrections. For marginal operators with singular operator products, we construct solutions by regularizing the singularity and adding counterterms. We explicitly carry out the procedure to third order in the deformation parameter.
Analytic solutions for marginal deformations in open superstring field theory, arXiv:0704.0936 [hepth
"... We extend the calculable analytic approach to marginal deformations recently developed in open bosonic string field theory to open superstring field theory formulated by Berkovits. We construct analytic solutions to all orders in the deformation parameter when operator products Ever since the analyt ..."
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Cited by 58 (6 self)
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We extend the calculable analytic approach to marginal deformations recently developed in open bosonic string field theory to open superstring field theory formulated by Berkovits. We construct analytic solutions to all orders in the deformation parameter when operator products Ever since the analytic solution for tachyon condensation in open bosonic string field theory [1]
Split string formalism and the closed string vacuum,” arXiv:hepth/0611200
"... The split string formalism offers a simple template upon which we can build many generalizations of Schnabl’s analytic solution of open string field theory. In this paper we explore two such generalizations: one which replaces the wedge state by an arbitrary function of wedge ..."
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Cited by 58 (5 self)
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The split string formalism offers a simple template upon which we can build many generalizations of Schnabl’s analytic solution of open string field theory. In this paper we explore two such generalizations: one which replaces the wedge state by an arbitrary function of wedge
Solving open string field theory with special projectors,” hepth/0606131
"... Schnabl recently found an analytic expression for the string field tachyon condensate using a gauge condition adapted to the conformal frame of the sliver projector. We propose that this construction is more general. The sliver is an example of a special projector, a projector such that the Virasoro ..."
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Cited by 57 (5 self)
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Schnabl recently found an analytic expression for the string field tachyon condensate using a gauge condition adapted to the conformal frame of the sliver projector. We propose that this construction is more general. The sliver is an example of a special projector, a projector such that the Virasoro operator L0 and its BPZ adjoint L ⋆ 0 obey the algebra [L0, L ⋆ 0] = s(L0 + L ⋆ 0), with s a positive real constant. All special projectors provide abelian subalgebras of string fields, closed under both the ∗product and the action of L0. This structure guarantees exact solvability of a ghost number zero string field equation. We recast this infinite recursive set of equations as an ordinary differential equation that is easily solved. The classification of special projectors is reduced to a version of the RiemannHilbert problem, with piecewise constant data on the boundary of a disk.
Analytic solutions for tachyon condensation with general projectors,” arXiv:hepth/0611110
"... The tachyon vacuum solution of Schnabl is based on the wedge states, which close under the star product and interpolate between the identity state and the sliver projector. We use reparameterizations to solve the longstanding problem of finding an analogous family of states for arbitrary projectors ..."
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Cited by 57 (11 self)
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The tachyon vacuum solution of Schnabl is based on the wedge states, which close under the star product and interpolate between the identity state and the sliver projector. We use reparameterizations to solve the longstanding problem of finding an analogous family of states for arbitrary projectors and to construct analytic solutions based on them. The solutions simplify for special projectors and allow explicit calculations in the level expansion. We test the solutions in detail for a oneparameter family of special projectors that includes the sliver and the butterfly. Reparameterizations further allow a oneparameter deformation of the solution for a given projector, and in a certain limit the solution takes the form of an operator insertion
Tachyon vacuum in cubic superstring field theory
 JHEP 01 (2008) 013, [0707.4591]. (Cited on
"... In this paper we give an exact analytic solution for tachyon condensation in the modified (picture 0) cubic superstring field theory. We prove the absence of cohomology and, crucially, reproduce the correct value for the Dbrane tension. The solution is surprising for two reasons: First, the existen ..."
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Cited by 56 (2 self)
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In this paper we give an exact analytic solution for tachyon condensation in the modified (picture 0) cubic superstring field theory. We prove the absence of cohomology and, crucially, reproduce the correct value for the Dbrane tension. The solution is surprising for two reasons: First, the existence of a tachyon vacuum in this theory has not been definitively established in the level expansion. Second, the solution vanishes in the GSO(−) sector, implying a “tachyon
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.
Marginal Solutions for the Superstring
 J. High Energy Phys
"... We construct a class of analytic solutions of WZWtype open superstring field theory describing marginal deformations of a reference Dbrane background. The deformations we consider are generated by onshell vertex operators with vanishing operator products. The superstring solution exhibits an intr ..."
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Cited by 42 (5 self)
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We construct a class of analytic solutions of WZWtype open superstring field theory describing marginal deformations of a reference Dbrane background. The deformations we consider are generated by onshell vertex operators with vanishing operator products. The superstring solution exhibits an intriguing duality with the corresponding marginal solution of the bosonic string. In particular, the superstring problem is “dual ” to the problem of reexpressing the bosonic marginal solution in pure gauge form. This represents the first nonsingular analytic