Quantization of Integrable Systems and Four Dimensional Gauge Theories

N. Nekrasov; S. Shatashvili

DOI:10.1142/9789814304634_0015

Corpus ID: 14877553

Quantization of Integrable Systems and Four Dimensional Gauge Theories

@article{Nekrasov2010QuantizationOI,
  title={Quantization of Integrable Systems and Four Dimensional Gauge Theories},
  author={N. Nekrasov and S. Shatashvili},
  journal={arXiv: High Energy Physics - Theory},
  year={2010},
  pages={265-289}
}

N. Nekrasov, S. Shatashvili

Published 2010

Physics, Mathematics

arXiv: High Energy Physics - Theory

We study four dimensional N=2 supersymmetric gauge theory in the Omega-background with the two dimensional N=2 super-Poincare invariance. We explain how this gauge theory provides the quantization of the classical integrable system underlying the moduli space of vacua of the ordinary four dimensional N=2 theory. The epsilon-parameter of the Omega-background is identified with the Planck constant, the twisted chiral ring maps to quantum Hamiltonians, the supersymmetric vacua are identified with… CONTINUE READING

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