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Double Inozemtsev Limits of the Quantum DELL System

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arxiv 2110.02157 v1 pith:NUGLPCDW submitted 2021-10-05 hep-th math-phmath.MP

Alexander Gorsky , Peter Koroteev , Olesya Koroteeva , Shamil Shakirov This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords doubledellellipticlimitshamiltoniansinozemtsevparametersquantum
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In this letter we study various Inozemtsev-type limits of the quantum double elliptic (DELL) system when both elliptic parameters are sent to zero at different rates, while the coupling constant is sent to infinity, such that a certain combination of the three parameters is kept fixed. We find a regime in which such double Inozemtsev limit of DELL produces the elliptic Ruijsenaars-Schneider (eRS) Hamiltonians albeit in an unconventional normalization. We discuss other double scaling limits and anisotropic scaling of coordinates and momenta. In addition, we provide a formal expression for the eigenvalues of the eRS Hamiltonians solely in terms of their eigenfunctions.

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    The authors give a combinatorial partition function for A-type little string theories with a full-type surface defect and argue that two NS-limit regularizations are both regular due to a recursive pole-cancellation identity.

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