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We propose a general correspondence which associates a non-perturbative quantum-mechanical operator to a toric Calabi-Yau manifold, and we conjecture an explicit formula for its spectral determinant in terms of an M-theoretic version of the topological string free energy.
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2002
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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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S. M. Sergeev, “Quantization scheme for modular q q -difference equations,” Theor. Math. Phys. 213
2005
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M. Aganagic, A. Klemm, M. Mariño and C. Vafa, “The Topological vertex,” Commun. Math. Phys. 254
2005
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M. Aganagic, R. Dijkgraaf, A. Klemm, M. Mariño and C. Vafa, “Topological strings and integrable hierarchies,” Commun. Math. Phys. 261
2006
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M. Gunaydin, A. Neitzke and B. Pioline, “Topological wave functions and heat equations,” JHEP 0612
2006
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2008
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M. Mariño, “Open string amplitudes and large order behavior in topological string theory,” JHEP 0803
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. Aganagic, V. Bouchard and A. Klemm, “Topological Strings and (Almost) Modular Forms,” Commun. Math. Phys. 277
2008
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V. Bouchard, A. Klemm, M. Mariño and S. Pasquetti, “Remodeling the B-model,” Commun. Math. Phys. 287
2009
2012
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2012
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2013
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F. Calvo and M. Mariño, “Membrane instantons from a semiclassical TBA,” JHEP 1305
2013
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Y. Hatsuda, S. Moriyama and K. Okuyama, “Instanton Bound States in ABJM Theory,” JHEP 1305
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A. Iqbal, C. Kozcaz and C. Vafa, “The Refined topological vertex,” JHEP 0910
2009
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2009
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2010
Cited alongside, same era.
M. Mariño and P. Putrov, “Exact Results in ABJM Theory from Topological Strings,” JHEP 1006
2010
Cited alongside, same era.
A. Mironov and A. Morozov, “Nekrasov Functions and Exact Bohr-Zommerfeld Integrals,” JHEP 1004
2010
Cited alongside, same era.
2011
Cited alongside, same era.
N. Drukker, M. Mariño and P. Putrov, “Nonperturbative aspects of ABJM theory,” JHEP 1111
2011
Cited alongside, same era.
2013
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2013
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2014
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M. x. Huang and X. f. Wang, “Topological Strings and Quantum Spectral Problems,” JHEP 1409
2014
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X. f. Wang, X. Wang and M. x. Huang, “A Note on Instanton Effects in ABJM Theory,” JHEP 1411
2014
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2014
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M. Mezei and S. S. Pufu, “Three-sphere free energy for classical gauge groups,” JHEP 1402
2014
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2014
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Y. Hatsuda and K. Okuyama, “Probing non-perturbative effects in M-theory,” JHEP 1410
2014
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S. Matsumoto and S. Moriyama, “ABJ Fractional Brane from ABJM Wilson Loop,” JHEP 1403
2014
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M. Honda and K. Okuyama, “Exact results on ABJ theory and the refined topological string,” JHEP 1408
2014
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A. Grassi, M. Mariño and S. Zakany, “Resumming the string perturbation series,” JHEP 1505
2015
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2015
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A. Grassi and M. Mariño, “M-theoretic matrix models,” JHEP 1502
2015
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