scholarly journals Exact results on equations of motion in vacuum string field theory

2005 ◽  
Vol 631 (3) ◽  
pp. 141-149
Author(s):  
Hiroyuki Hata ◽  
Sanefumi Moriyama
2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
Hiroyuki Hata

Abstract We present an analytic construction of multi-brane solutions with any integer brane number in cubic open string field theory (CSFT) on the basis of the ${K\!Bc}$ algebra. Our solution is given in the pure-gauge form $\Psi=U{Q_\textrm{B}} U^{-1}$ by a unitary string field $U$, which we choose to satisfy two requirements. First, the energy density of the solution should reproduce that of the $(N+1)$-branes. Second, the equations of motion (EOM) of the solution should hold against the solution itself. In spite of the pure-gauge form of $\Psi$, these two conditions are non-trivial ones due to the singularity at $K=0$. For the $(N+1)$-brane solution, our $U$ is specified by $[N/2]$ independent real parameters $\alpha_k$. For the 2-brane ($N=1$), the solution is unique and reproduces the known one. We find that $\alpha_k$ satisfying the two conditions indeed exist as far as we have tested for various integer values of $N\ (=2, 3, 4, 5, \ldots)$. Our multi-brane solutions consisting only of the elements of the ${K\!Bc}$ algebra have the problem that the EOM is not satisfied against the Fock states and therefore are not complete ones. However, our construction should be an important step toward understanding the topological nature of CSFT, which has similarities to the Chern–Simons theory in three dimensions.


2000 ◽  
Vol 2000 (10) ◽  
pp. 045-045 ◽  
Author(s):  
David Kutasov ◽  
Marcos Mariño ◽  
Gregory Moore

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Kasia Budzik ◽  
Miroslav Rapčák ◽  
Jairo M. Rojas

Abstract Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal space approach, we employ open string field theory (OSFT) techniques to explore the space of conformal defects. We illustrate the method by an analysis of OSFT around the background associated to the (1, 2) topological defect in diagonal unitary minimal models. Numerical analysis of OSFT equations of motion leads to an identification of a nice family of solutions, recovering the picture of infrared fixed points due to Kormos, Runkel and Watts. In particular, we find a continuum of solutions in the Ising model case and 6 solutions for other minimal models. OSFT provides us with numerical estimates of the g-function and other coefficients of the boundary state.


1986 ◽  
Vol 178 (4) ◽  
pp. 343-349 ◽  
Author(s):  
Neil Marcus ◽  
Augusto Sagnotti

2009 ◽  
Vol 161 (1) ◽  
pp. 1376-1384
Author(s):  
I. Ya. Aref’eva ◽  
R. V. Gorbachev ◽  
D. A. Grigoryev ◽  
P. N. Khromov ◽  
P. B. Medvedev

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2281-2282
Author(s):  
SHUNSUKE TERAGUCHI

We reformulate bosonic boundary string field theory in terms of boundary state. In our formulation, we can formally perform the integration of target space equations of motion for arbitrary field configurations without assuming decoupling of matter and ghost. This is a short summary of our contribution to the international workshop "Progress of String Theory and Quantum Field Theory" at Osaka City University (December 7-10, 2007).


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