Homotopy Algebras Inspired by Classical Open-Closed String Field Theory

By H. Kajiura, J. Stasheff. 2004

144 citations recorded by the source corpus.

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∞-algebras) by closed strings (L∞-algebras).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/690048ef73b764785b81141982ec94e49078d788

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. O. Hohm
2. B. Zwiebach
3. M. Schnabl
4. L. Rastelli
5. Ashoke Sen

In Mathematical Physics

1. O. Hohm
2. B. Zwiebach
3. M. Schnabl
4. D. Marqués
5. L. Rastelli
6. Ashoke Sen
7. C. Nuñez
8. G. Aldazabal

Citations in the corpus

• L∞ algebras and field theory (2017, background): “The interplay of A∞ and L∞ algebras feature in the study of open-closed string field theory [3, 5, 10].”