A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
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Abstract
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.Keywords
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This publication has 69 references indexed in Scilit:
- Topological Strings and Integrable HierarchiesCommunications in Mathematical Physics, 2005
- On the Worldsheet Derivation of Large N Dualities for the SuperstringCommunications in Mathematical Physics, 2004
- Unitary and Complex Matrix Models as 1-d Type 0 StringsCommunications in Mathematical Physics, 2004
- 2D gravity and random matricesPhysics Reports, 1995
- Chern-Simons gauge theory as a string theory1995
- The Partition Function of 2D String Theory1993
- Intersection theory on the moduli space of curves and the matrix airy functionCommunications in Mathematical Physics, 1992
- Intersection Theory, Integrable Hierarchies and Topological Field Theory1992
- A proof that Witten's open string theory gives a single cover of moduli spaceCommunications in Mathematical Physics, 1991
- Topological couplings and contact terms in 2d field theoryCommunications in Mathematical Physics, 1991