Open/closed string duality for topological gravity with matter
Author(s) -
Akikazu Hashimoto,
Min-xin Huang,
Albrecht Klemm,
David Shih
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/05/007
Subject(s) - physics , partition function (quantum field theory) , duality (order theory) , string (physics) , brane , string theory , moduli space , topological string theory , theoretical physics , topology (electrical circuits) , mathematical physics , quantum gravity , relationship between string theory and quantum field theory , pure mathematics , mathematics , quantum mechanics , quantum , combinatorics
The exact FZZT brane partition function for topological gravity with matteris computed using the dual two-matrix model. We show how the effective theoryof open strings on a stack of FZZT branes is described by the generalizedKontsevich matrix integral, extending the earlier result for pure topologicalgravity. Using the well-known relation between the Kontsevich integral and acertain shift in the closed-string background, we conclude that these modelsexhibit open/closed string duality explicitly. Just as in pure topologicalgravity, the unphysical sheets of the classical FZZT moduli space areeliminated in the exact answer. Instead, they contribute small, nonperturbativecorrections to the exact answer through Stokes' phenomenon.Comment: 23 pages, 1 figure, harvma
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