5 research outputs found
On homotopy algebras and quantum string field theory
We revisit the existence, background independence and uniqueness of closed,
open and open-closed bosonic- and topological string field theory, using the
machinery of homotopy algebra. In a theory of classical open- and closed
strings, the space of inequivalent open string field theories is isomorphic to
the space of classical closed string backgrounds. We then discuss obstructions
of these moduli spaces at the quantum level. For the quantum theory of closed
strings, uniqueness on a given background follows from the decomposition
theorem for loop homotopy algebras. We also address the question of background
independence of closed string field theory.Comment: 11 pages, 1 figure, published versio
Quantum Open-Closed Homotopy Algebra and String Field Theory
We reformulate the algebraic structure of Zwiebach's quantum open-closed
string field theory in terms of homotopy algebras. We call it the quantum
open-closed homotopy algebra (QOCHA) which is the generalization of the
open-closed homotopy algebra (OCHA) of Kajiura and Stasheff. The homotopy
formulation reveals new insights about deformations of open string field theory
by closed string backgrounds. In particular, deformations by Maurer Cartan
elements of the quantum closed homotopy algebra define consistent quantum open
string field theories.Comment: 36 pages, fixed typos and small clarifications adde