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- W2012167479 abstract "In the case of SU(2), associated by the AGT relation to the 2d Liouville theory, the Seiberg-Witten prepotential is constructed from the Bohr-Sommerfeld periods of 1d sine-Gordon model. If the same construction is literally applied to monodromies of exact wave functions, the prepotential turns into the one-parametric Nekrasov prepotential $$mathcal{F} (a, epsilon_{1}) $$ with the other epsilon parameter vanishing, ϵ2 = 0, and ϵ1 playing the role of the Planck constant in the sine-Gordon Shrödinger equation, ℏ = ϵ1. This seems to be in accordance with the recent claim in [1] and poses a problem of describing the full Nekrasov function as a seemingly straightforward double-parametric quantization of sine-Gordon model. This also provides a new link between the Liouville and sine-Gordon theories." @default.
- W2012167479 created "2016-06-24" @default.
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- W2012167479 date "2010-04-01" @default.
- W2012167479 modified "2023-10-05" @default.
- W2012167479 title "Nekrasov functions and exact Bohr-Sommerfeld integrals" @default.
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- W2012167479 doi "https://doi.org/10.1007/jhep04(2010)040" @default.
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