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TITLE Exact quantization conditions for the elliptic Ruijsenaars-Schneider model
KIAS AUTHORS Sciarappa, Antonio
JOURNAL JOURNAL OF HIGH ENERGY PHYSICS, 2018
ARCHIVE  
ABSTRACT We propose and test exact quantization conditions for the N-particle quantum elliptic Ruijsenaars-Schneider integrable system, as well as its Calogero-Moser limit, based on the conjectural correspondence to the five-dimensional N = 1* SU(N) gauge theory in the Nekrasov-Shatashvili limit. We discuss two natural sets of quantization conditions, related by the electro-magnetic duality, and the importance of non-perturbative corrections in the Planck constant. We also comment on the eigenfunction problem, by reinterpreting the Separation of Variables approach in gauge theory terms.
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