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

By D. Gaiotto, L. Rastelli. 2003

149 citations recorded by the source corpus.

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 matrix integral 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8efa143ba3deee4867d66409a2e7ce1577e075db

How researchers see this paper

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

In Astronomy and Astrophysics

1. N. Seiberg
2. Y. Nakayama
3. G. Moore
4. J. Maldacena
5. David Shih
6. E. Witten
7. D. Harlow
8. T. Takayanagi

In Nuclear and High Energy Physics

1. Y. Nakayama
2. N. Seiberg
3. J. Maldacena
4. G. Moore
5. E. Witten
6. David Shih
7. Ashoke Sen
8. D. Gaiotto

In Statistical and Nonlinear Physics

1. Y. Nakayama
2. J. Maldacena
3. N. Seiberg
4. G. Moore
5. E. Witten
6. David Shih
7. Phil Saad
8. D. Harlow

Citations in the corpus

• Liouville Field Theory — A decade after the revolution (2004, methodology): “Very recently, [82] has given a dual explanation of this matrix model as an OSFT on the FZZT branes in the c = −2 string theory.”
• Exact vs. semiclassical target space of the minimal string (2004, background): “open strings stretched between n FZZT branes [ 24 ].”