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We extend topological string methods in order to perform WKB approximations for quantum mechanical problems with higher order potentials efficiently.
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2004
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J. Zinn-Justin and U. D. Jentschura, “Multi-instantons and exact results II: Specific cases, higher-order effects, and numerical calculations,” Annals Phys
2004
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M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino, and C. Vafa, “Topological strings and integrable hierarchies,” Commun. Math. Phys
2006
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M.-x. Huang, “On Gauge Theory and Topological String in Nekrasov-Shatashvili Limit,” JHEP
2012
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M.-x. Huang and A. Klemm, “Holomorphic Anomaly in Gauge Theories and Matrix Models,” JHEP
2007
Cited alongside, same era.
B. Haghighat, A. Klemm, and M. Rauch, “Integrability of the holomorphic anomaly equations,” JHEP
2008
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V. Bouchard, A. Klemm, M. Marino, and S. Pasquetti, “Remodeling the B-model,” Commun. Math. Phys
2009
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2010
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U. D. Jentschura, A. Surzhykov, and J. Zinn-Justin, “Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators,” Annals Phys
2010
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A. Brini, M. Marino, and S. Stevan, “The Uses of the refined matrix model recursion,” J. Math. Phys
2011
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D. Krefl and J. Walcher, “Extended Holomorphic Anomaly in Gauge Theory,” Lett. Math. Phys
2011
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2013
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2013
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2014
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2015
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I. Gahramanov and K. Tezgin, “Remark on the Dunne-Ünsal relation in exact semiclassics,” Phys. Rev
2016
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