String Field Theory Solution for Any Open String Background
arXiv:1406.3021 · doi:10.1007/JHEP10(2014)029
Abstract
We present an exact solution of open bosonic string field theory which can be used to describe any time-independent open string background. The solution generalizes an earlier construction of Kiermaier, Okawa, and Soler, and assumes the existence of boundary condition changing operators with nonsingular OPEs and vanishing conformal dimension. Our main observation is that boundary condition changing operators of this kind can describe nearly any open string background provided the background shift is accompanied by a timelike Wilson line of sufficient strength. As an application we analyze the tachyon lump describing the formation of a D-brane in the string field theory of a D-brane, for generic compactification radius. This not only provides a proof of Sen's second conjecture, but also gives explicit examples of higher energy solutions, confirming analytically that string field theory can "reverse" the direction of the worldsheet RG flow. We also find multiple D-brane solutions, demonstrating that string field theory can add Chan-Paton factors and change the rank of the gauge group. Finally, we show how the solution provides a remarkably simple and nonperturbative proof of the background independence of open bosonic string field theory.
V2: 42 pages, 11 figures, typos corrected
References in corpus (18)
- 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
- Analytic solutions for marginal deformations in open superstring field theory
- Real analytic solutions for marginal deformations in open superstring field theory
- On the validity of the solution of string field theory
- Solutions from boundary condition changing operators in open string field theory
- Marginal deformations in string field theory
- Marginal deformation for the photon in superstring field theory
- Comments on Solutions for Nonsingular Currents in Open String Field Theories
- Rolling to the tachyon vacuum in string field theory
- The Spectrum of Open String Field Theory at the Stable Tachyonic Vacuum
- Exotic Universal Solutions in Cubic Superstring Field Theory
- Gauge-invariant observables and marginal deformations in open string field theory
- Multibrane solutions in cubic superstring field theory
- Comments on Observables for Identity-Based Marginal Solutions in Berkovits' Superstring Field Theory