Analytic Study of Nonperturbative Solutions in Open String Field Theory

Abstract

We propose an analytic framework to study the nonperturbative solutions of Witten's open string field theory. The method is based on the Moyal star formulation where the kinetic term can be split into two parts. The first one describes the spectrum of two identical half strings which are independent from each other. The second one, which we call midpoint correction, shifts the half string spectrum to that of the standard open string. We show that the nonlinear equation of motion of string field theory is exactly solvable at zeroth order in the midpoint correction. An infinite number of solutions are classified in terms of projection operators. Among them, there exists only one stable solution which is identical to the standard butterfly state. We include the effect of the midpoint correction around each exact zeroth order solution as a perturbation expansion which can be formally summed to the complete exact solution.

arXiv comment29 pages

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Cited by in corpus (12)

• Tachyon Dynamics in Open String Theory
• Exact Solutions in SFT and Marginal Deformation in BCFT
• Continuous Half-String Representation of String Field Theory
• Fermionic Ghosts in Moyal String Field Theory
• Solving Witten's string field theory using the butterfly state
• Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle
• A fresh look at midpoint singularities in the algebra of string fields
• Vacuum string field theory without matter-ghost factorization
• Improved Off-Shell Scattering Amplitudes in String Field Theory and New Computational Methods
• Is String Interaction the Origin of Quantum Mechanics?
• Solving Witten's SFT by Insertion of Operators on Projectors
• New analytic solutions in String Field Theory: towards collective Higher Spin vacuum