  Let $L$ be a Lagrangian submanifold in a symplectic vector space which is
closed, oriented and spin. Using virtual fundamental chains of moduli spaces of
nonconstant pseudo-holomorphic disks with boundaries on $L$, one can define a
Maurer-Cartan element of a Lie bracket operation in string topology (the loop
bracket) defined at chain level. This observation is due to Fukaya, who also
pointed out its important consequences in symplectic topology. The goal of this
paper is to work out details of this observation. Our argument is based on a
string topology chain model previously introduced by the author, and the theory
of Kuranishi structures on moduli spaces of pseudo-holomorphic disks, which has
been developed by Fukaya-Oh-Ohta-Ono.
