c=1 Matrix Models: Equivalences and Open-Closed String Duality

Details c=1 Matrix Models: Equivalences and Open-Closed String Duality c=1 Matrix Models: Equivalences and Open-Closed String Duality

2005-05-20

arxiv.org/abs/hep-th/0505180v2

JHEP 0510 (2005) 099

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, latex, 1 figure, typos, discussion added, acknowledgements updated

Scientific paper

10.1088/1126-6708/2005/10/099

We give an explicit demonstration of the equivalence between the Normal Matrix Model (NMM) of c=1 string theory at selfdual radius and the Kontsevich-Penner (KP) model for the same string theory. We relate macroscopic loop expectation values in the NMM to condensates of the closed string tachyon, and discuss the implications for open-closed duality. As in c<1, the Kontsevich-Miwa transform between the parameters of the two theories appears to encode open-closed string duality, though our results also exhibit some interesting differences with the c<1 case. We also briefly comment on two different ways in which the Kontsevich model originates.

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