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- W3100960860 abstract "A well-motivated conjecture states that the open topological string partition function on toric geometries in the Nekrasov-Shatashvili limit is annihilated by a difference operator called the quantum mirror curve. Recently, the complex structure variables parameterizing the curve, which play the role of eigenvalues for related operators, were conjectured to satisfy a quantization condition non-perturbative in the NS parameter $hbar$. Here, we argue that this quantization condition arises from requiring single-valuedness of the partition function, combined with the requirement of smoothness in the parameter $hbar$. To determine the monodromy of the partition function, we study the underlying difference equation in the framework of exact WKB." @default.
- W3100960860 created "2020-11-23" @default.
- W3100960860 creator A5014610488 @default.
- W3100960860 date "2016-06-01" @default.
- W3100960860 modified "2023-10-16" @default.
- W3100960860 title "Quantization condition from exact WKB for difference equations" @default.
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- W3100960860 doi "https://doi.org/10.1007/jhep06(2016)180" @default.
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