A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model

Details A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model

2003-12-17

arxiv.org/abs/hep-th/0312196v2

JHEP 0507 (2005) 053

Physics

High Energy Physics

High Energy Physics - Theory

v2: References added; a new section with generalization to non-zero bulk cosmological constant; expanded discussion on topolog

Scientific paper

10.1088/1126-6708/2005/07/053

We argue that topological matrix models (matrix models of the Kontsevich type) are examples of exact open/closed duality. The duality works at finite N and for generic `t Hooft couplings. We consider in detail the paradigm of the Kontsevich model for two-dimensional topological gravity. We demonstrate that the Kontsevich model arises by topological localization of cubic open string field theory on N stable branes. Our analysis is based on standard worldsheet methods in the context of non-critical bosonic string theory. The stable branes have Neumann (FZZT) boundary conditions in the Liouville direction. Several generalizations are possible.

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