Unitary matrix models are mapped to vacuum correlators of quantized symmetric functions in the N-magnon sector of a spin chain via Schur orthogonality.
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Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
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Unitary matrix models, quantized symmetric functions and spin chain
Unitary matrix models are mapped to vacuum correlators of quantized symmetric functions in the N-magnon sector of a spin chain via Schur orthogonality.
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On non-relativistic integrable models and 4d SCFTs
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.