Results 11  20
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212
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
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
On the validity of the solution of string field theory
 JHEP 0605
"... Abstract: We analyze the realm of validity of the recently found tachyon solution of cubic string field theory. We find that the equation of motion holds in a non trivial way when this solution is contracted with itself. This calculation is needed to conclude the proof of Sen’s first conjecture. We ..."
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Cited by 53 (14 self)
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Abstract: We analyze the realm of validity of the recently found tachyon solution of cubic string field theory. We find that the equation of motion holds in a non trivial way when this solution is contracted with itself. This calculation is needed to conclude the proof of Sen’s first conjecture. We also find that the equation of motion holds when the tachyon or
Observables of string field theory
 JHEP 0201
"... We study gauge invariant operators of open string field theory and find a precise correspondence with onshell closed strings. We provide a detailed proof of the gauge invariance of the operators and a heuristic interpretation of their correlation functions in terms of onshell scattering amplitudes ..."
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Cited by 50 (2 self)
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We study gauge invariant operators of open string field theory and find a precise correspondence with onshell closed strings. We provide a detailed proof of the gauge invariance of the operators and a heuristic interpretation of their correlation functions in terms of onshell scattering amplitudes of closed strings. We also comment on the There are two kinds of physically meaningful quantities one can compute in a gauge theory. One is onshell scattering amplitude (the Smatrix), and the other is offshell correlation functions of gauge invariant quantities. In perturbative string theory, however, we only know how to compute onshell quantities. String field theory provides an interesting opportunity
Wedge states in string field theory
 JHEP
, 2003
"... The wedge states form an important subalgebra in the string field theory. We review and further investigate their various properties. We find in particular a novel expression for the wedge states, which allows to understand their star products purely algebraically. The method allows also for treatin ..."
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Cited by 50 (2 self)
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The wedge states form an important subalgebra in the string field theory. We review and further investigate their various properties. We find in particular a novel expression for the wedge states, which allows to understand their star products purely algebraically. The method allows also for treating the matter and ghost sectors separately. It turns out, that wedge states with different matter and ghost parts violate the associativity of the algebra. We introduce and study also wedge states with insertions of local operators and show how they are useful for obtaining exact results about convergence of level truncation calculations. These results help to clarify the issue of anomalies related to the identity and some exterior derivations in the string field algebra. 1
Observables as twist anomaly in vacuum string field theory
 JHEP
, 2002
"... We reveal a novel mathematical structure in physical observables, the mass of tachyon fluctuation mode and the energy density, associated with a classical solution of vacuum string field theory constructed previously [hepth/0108150]. We find that they are expressed in terms of quantities which appa ..."
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Cited by 44 (8 self)
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We reveal a novel mathematical structure in physical observables, the mass of tachyon fluctuation mode and the energy density, associated with a classical solution of vacuum string field theory constructed previously [hepth/0108150]. We find that they are expressed in terms of quantities which apparently vanish identically due to twist evenodd degeneracy of eigenvalues of a Neumann coefficient matrix defining the threestring interactions. However, they can give nonvanishing values because of the breakdown of the degeneracy at the edge of the eigenvalue distribution. We also present a general prescription of correctly simplifying the expressions of these observables. Numerical calculation of the energy density following our prescription indicates that the present classical solution represents the configuration of two D25branes.