Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory
Yuji Ohta (Res. Inst. Math. Sci., Kyoto Univ.)

TL;DR
This paper computes instanton corrections to the prepotential in the Ruijsenaars model using Picard-Fuchs equations, revealing its reduction to the SU(2) gauge theory with a massive hypermultiplet.
Contribution
It introduces a method to derive instanton corrections in the Ruijsenaars model and connects it to known Seiberg-Witten gauge theory results.
Findings
Instanton-corrected prepotential derived using Picard-Fuchs equations.
Reduction of the Ruijsenaars model prepotential to SU(2) gauge theory with a hypermultiplet.
Provides a link between integrable models and supersymmetric gauge theories.
Abstract
Instanton correction of prepotential of one-dimensional SL(2) Ruijsenaars model is presented with the help of Picard-Fuchs equation of Pakuliak-Perelomov type. It is shown that the instanton induced prepotential reduces to that of the SU(2) gauge theory coupled with a massive adjoint hypermultiplet.
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