String Field Theory Solution for Any Open String Background. II

Abstract

Generalizing previous work, we give a new analytic solution in Witten's open bosonic string field theory which can describe any open string background. The central idea is to use Riemann surface degenerations as a mechanism for taming OPE singularities. This requires leaving the familiar subalgebra of wedge states with insertions, but the payoff is that the solution makes no assumptions about the reference and target D-brane systems, and is therefore truly general. For example, unlike in previous work, the solution can describe time dependent backgrounds and multiple copies of the reference D-brane within the universal sector. The construction also resolves some subtle issues resulting from associativity anomalies, giving a more complete understanding of the relation between the degrees of freedom of different D-brane systems, and a nonperturbative proof of background independence in classical open bosonic string field theory.

V2: 89 pages, 44 figures. Minor corrections

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Cited by in corpus (18)

• String Field Theory -- A Modern Introduction
• Tree-level amplitudes from the pure spinor superstring
• Four Lectures on Analytic Solutions in Open String Field Theory
• Multi-instantons in minimal string theory and in matrix integrals
• The ZZ annulus one-point function in non-critical string theory: A string field theory analysis
• The classical cosmological constant of open-closed string field theory
• Open string stub as an auxiliary string field
• Closed string deformations in open string field theory II: superstring
• String Field Theory
• Localization of effective actions in Heterotic String Field Theory
• Closed string deformations in open string field theory I: bosonic string
• Rolling tachyon and the Phase Space of Open String Field Theory
• Bianchi IX geometry and the Einstein-Maxwell theory
• Symplectic structure in open string field theory II: Sliding lump
• Conformal Defects from String Field Theory
• Symplectic structure in open string field theory III: Electric field
• 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