Constraints on a class of classical solutions in open string field theory

Abstract

We calculate boundary states for general string fields in the KBc subalgebra under some regularity conditions based on the construction by Kiermaier, Okawa, and Zwiebach. The resulting boundary states are always proportional to that for the perturbative vacuum |B>. In this framework, the equation of motion implies that boundary states are independent of the auxiliary parameter s associated with the length of the boundary. By requiring the s-independence, we show that the boundary states for classical solutions in our class are restricted to \pm|B> and 0. In particular, there exist no string fields which reproduce boundary states for multiple D-brane backgrounds. While we know that the boundary states |B> and 0 are reproduced by solutions for the perturbative vacuum and the tachyon vacuum, respectively, no solutions reproducing -|B> have been constructed. In this paper we also propose a candidate for such a solution, which may describe the ghost D-brane.

47 pages, 3 figures; v2: appendix B is expanded

References in corpus (28)

• Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory
• A Simple Analytic Solution for Tachyon Condensation
• Analytic Solutions for Marginal Deformations in Open String Field Theory
• Comments on Marginal Deformations in Open String Field Theory
• Marginal Solutions for the Superstring
• Ghost D-branes
• Analytic solutions for marginal deformations in open superstring field theory
• Real analytic solutions for marginal deformations in open superstring field theory
• Solutions from boundary condition changing operators in open string field theory
• Marginal deformations in string field theory
• Relevant Deformations in Open String Field Theory: a Simple Solution for Lumps
• On Multibrane Solutions in Open String Field Theory
• Marginal deformation for the photon in superstring field theory
• Connecting Solutions in Open String Field Theory with Singular Gauge Transformations
• Multibrane Solutions in Open String Field Theory
• Comments on Lumps from RG flows
• Solutions from boundary condition changing operators in open superstring field theory
• Winding Number in String Field Theory
• Rolling to the tachyon vacuum in string field theory
• Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory
• The energy of the analytic lump solution in SFT
• Comments on regularization of identity based solutions in string field theory
• The Phantom Term in Open String Field Theory
• Exotic Universal Solutions in Cubic Superstring Field Theory
• Comments on gauge invariant overlaps for marginal solutions in open string field theory
• Dynamics and Stability of Light-Like Tachyon Condensation
• Regularization of identity based solution in string field theory
• The boundary state for a class of analytic solutions in open string field theory

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• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory
• Four Lectures on Analytic Solutions in Open String Field Theory
• From the Berkovits formulation to the Witten formulation in open superstring field theory
• Energy from the gauge invariant observables
• Singularities in K-space and Multi-brane Solutions in Cubic String Field Theory
• The Identity String Field and the Sliver Frame Level Expansion
• Higgs Mechanism in Nonlocal Field Theories
• Comments on Takahashi-Tanimoto's scalar solution
• Inversion Symmetry of Gravitational Coupling in Cubic String Field Theory
• String field representation of the Virasoro algebra
• Numerical solution for tachyon vacuum in the Schnabl gauge
• Numerical solution of open string field theory in Schnabl gauge
• A singular one-parameter family of solutions in cubic superstring field theory
• Interior Product, Lie Derivative and Wilson Line in the $KBc$ Subsector of Open String Field Theory
• Classical solution for ghost D-branes in string field theory
• Energy from Ellwood invariant for solutions involving $X^0$ variables
• Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant