Highlights

• Since Schnabl’s construction [1] of an analytic solution for tachyon condensation in cubic open string field theory (CSFT), there have appeared lots of studies on the analytic construction of solutions representing multiple D25-branes within the framework of the KBc algebra [2].1 Among them, the construction presented in [4] by using the boundary condition changing operators, in addition to the elements of the KBc algebra, may be a satisfactory one

• In [8], we proposed that the 3-brane solution with N = 2 and T = 0 can be constructed in the form (1.2) by making use of the singularities both at K = 0 and K = ∞, and taking, for example, G(K) = (1 + K)2/K

• We have presented an analytic expression of the multi-brane solutions of CSFT for arbitrary brane numbers

Read more

Summary

Introduction

In this Appendix, we derive eq (3.28) for Sm1,m2,m3 (3.24) by using the (s, z)-integration formula for the Bcccc-correlators [5, 7]. For hQ (E.5), calculating the sum of residues at z = −1 and −1 ± (2πi/s) by using the formula (C.11) and carrying out the s-integration, we obtain. This leads to the expression of hQ given by (4.12) and (4.13). (±) θ(Q ≤ −2) 1F1(2 + Q, 3; ±z) − θ(Q ≥ 1) 1F1(1 − Q, 3; ±z)

Assumptions on the solution

Convenient notation

The most generic unitary U

Γ2 I12

Assumptions on Γa and Fab

N in terms of Γa and Fab

Kεn1 c

Summary and discussions