Year: 2025
Type: article
Abstract: A bstract We discuss two physics-inspired approaches to derivation of the eigenfunctions and eigenvalues of A N Ruijsenaars-Schneider model. First approach which was recently proposed by the authors relies on the computations of superconformal indices of class $$ \mathcal{S} $$ S 4 d $$ \mathcal{N} $$ N = 2 theories with the insertion of surface defects. Second approach uses computations of Nekrasov-Shatashvili limit of 5 d $$ \mathcal{N} $$ N = 1 * instanton partition functions in the presence of co-dimension two defect. We compare results of these two approaches for the low-lying levels of Ruijsenaars-Schneider model. We also discuss different previously proposed exact quantization conditions for the Coulomb branch parameters of the instanton partition functions and their interpretations in terms of index calculations.
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: National Science Foundation, Harvard University, National Research Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, National Research Foundation of Korea, Ministry of Science and ICT, South Korea, Samsung Science and Technology Foundation, Samsung, Science and Technology Facilities Council, Planning and Budgeting Committee of the Council for Higher Education of Israel
OpenAlex ID: W4407183572