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Exact quantization conditions for the elliptic Ruijsenaars-Schneider model

Sciarappa, Antonio
Published in . 2018, vol. 1811, p. 118
Collection Open Access - SCOAP3
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 ∗ $$ \mathcal{N}={1}^{\ast } $$ 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.
Keywords Bethe AnsatzSupersymmetric Gauge TheoryTopological Strings
arXiv: 1809.10294
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HATSUDA, Yasuyuki, SCIARAPPA, Antonio, ZAKANY, Szabolcs. Exact quantization conditions for the elliptic Ruijsenaars-Schneider model. In: Journal of High Energy Physics, 2018, vol. 1811, p. 118. doi: 10.1007/JHEP11(2018)118 https://archive-ouverte.unige.ch/unige:111793

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Deposited on : 2018-12-04

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