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Exact quantization conditions for the elliptic Ruijsenaars-Schneider model
- Publication Year :
- 2018
-
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 $\mathcal{N} = 1$ $SU(N)$ 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.<br />Comment: 50 pages + appendices, 13 tables
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1809.10294
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP11(2018)118