Homotopy Algebras Inspired by Classical Open-Closed String Field Theory

@article{Kajiura2006HomotopyAI,
  title={Homotopy Algebras Inspired by Classical Open-Closed String Field Theory},
  author={H. Kajiura and J. Stasheff},
  journal={Communications in Mathematical Physics},
  year={2006},
  volume={263},
  pages={553-581}
}
  • H. Kajiura, J. Stasheff
  • Published 2006
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is related to the situation of Kontsevich's deformation quantization. We show that it is actually a homotopy invariant notion; for instance, the minimal model theorem holds. Also, we show that our open-closed homotopy algebra gives us a general scheme for deformation of open string structures (A… CONTINUE READING
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