• DOI:10.1007/s00220-006-1539-2
Corpus ID: 13256085

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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