Comments on eigenfunctions of integrable models and 4d N=1 SQFTs

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• Shlomo Razamat (Technion - Israel Institute of Technology)
• Monday 02 October 2023, 13:30-14:30
• Seminar Room 1, Newton Institute.

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BLHW01 - Number theory, machine learning and quantum black holes

We will overview a relation between a variety of quantum mechanical integrable models and 4d N=1 SQF Ts obtained by compactifications of 6d (1,0) SCF Ts. In particular we will discuss an algorithm to extract ground state eigenfunctions of the integrable models from limits of the supersymmetric indices of the 4d SQF Ts. The integrable models will include, among others, the Ruijsenaars-Schneider model and the van Diejen model. The derivation of the eigenfunctions builds on physical inputs, such as conjectured Lagrangian across dimensions IR dualities and assumptions about the behavior of the indices in the limit of compactifications on surfaces with large genus/number of punctures/flux. We will make some additional remarks on mathematical properties of supersymmetric indices.

This talk is part of the Isaac Newton Institute Seminar Series series.

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