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We study non-perturbative aspects of the large N duality between Chern-Simons theory and topological strings, and we find a rich structure of large N phase transitions in the complex plane of the 't Hooft parameter.
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R. Gopakumar and C. Vafa, “On the gauge theory/geometry correspondence,” Adv. Theor. Math. Phys. 3
1999
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G. Bonnet, F. David and B. Eynard, “Breakdown of universality in multi-cut matrix models,” J. Phys. A 33
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F. Cachazo, K. A. Intriligator and C. Vafa, “A large N duality via a geometric transition,” Nucl. Phys. B 603
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A. Klemm, M. Mariño and S. Theisen, “Gravitational corrections in supersymmetric gauge theory and matrix models,” JHEP 0303
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M. Aganagic, A. Klemm, M. Mariño and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
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G. Felder and R. Riser, “Holomorphic matrix integrals,” Nucl. Phys. B 691
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N. Halmagyi, T. Okuda and V. Yasnov, “Large N duality, lens spaces and the Chern-Simons matrix model,” JHEP 0404
2004
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M. Aganagic, V. Bouchard and A. Klemm, “Topological Strings and (Almost) Modular Forms,” Commun. Math. Phys. 277
2008
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B. Haghighat, A. Klemm and M. Rauch, “Integrability of the holomorphic anomaly equations,” JHEP 0810
2008
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M. Mariño, “Open string amplitudes and large order behavior in topological string theory,” JHEP 0803
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2008
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2009
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N. Halmagyi and V. Yasnov, “The spectral curve of the lens space matrix model,” JHEP 0911
2009
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