Comments on new multiple-brane solutions based on Hata-Kojita duality in open string field theory

Abstract

Recently, Hata and Kojita proposed a new energy formula for a class of solutions in Witten's open string field theory based on a novel symmetry of correlation functions they found. Their energy formula can be regarded as a generalization of the conventional energy formula by Murata and Schnabl. Following their proposal, we investigate their new ansatz for the classical solution representing double D-branes. We present a regularized definition of this solution and show that the solution satisfies the equation of motion when it is contracted with the solution itself and when it is contracted with any states in the Fock space. However, the Ellwood invariant and the boundary state of the solution are the same as those for the perturbative vacuum. This result disagrees with an expectation from the Ellwood conjecture.

31 pages; v5: the formula (1.7) and (3.5) corrected; a proof of the formula (3.2) added; a new paragraph added at the end of appendix C; typos corrected

References in corpus (6)

• Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory
• A Simple Analytic Solution for Tachyon Condensation
• The boundary state from open string fields
• 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

Cited by in corpus (3)

• Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory
• From the Berkovits formulation to the Witten formulation in open superstring field theory
• Singularities in K-space and Multi-brane Solutions in Cubic String Field Theory