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

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arxiv hep-th/0312196 v2 pith:Q3KQ32TH submitted 2003-12-17 hep-th

Davide Gaiotto , Leonardo Rastelli This is my paper · ORCID
classification hep-th
keywords kontsevichdualitymodelopentopologicalbranesclosedliouville
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 133 citations worldwide. Full citation record

  1. Higher Connection in Open String Field Theory

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.

  2. Aspects of Closed Matricial Worlds

    hep-th 2026-07 conditional novelty 6.0 of 10

    Higher-genus corrections to the 2D de Sitter disk path integral follow a universal structure that at large boundary length mimics topological gravity, with new explicit expressions through genus six.

  3. Boundary observables in string field theory

    hep-th 2026-07 unverdicted novelty 6.0 of 10

    Boundary observables analogous to Brown-York charges are constructed in free and interacting string field theory, with examples in open and closed SFT.

  4. Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture

    hep-th 2025-06 reject novelty 4.0 of 10

    A topological A-model from CP^{3|4} supertwistors is claimed to reproduce the 't Hooft expansion of N=4 SYM and is related to the pure spinor AdS5×S5 superstring.

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