Quantum Open-Closed Homotopy Algebra and String Field Theory
High Energy Physics - Theory
2015-05-30 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1109.4101,
title = {Quantum Open-Closed Homotopy Algebra and String Field Theory},
author = {Korbinian Muenster and Ivo Sachs},
journal= {arXiv preprint arXiv:1109.4101},
year = {2015}
}
Comments
36 pages, fixed typos and small clarifications added