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Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities

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arxiv 2310.04571 v1 pith:ED3K7U4Q submitted 2023-10-06 math-ph hep-thmath.AGmath.MPmath.QA

Andrei Grekov , Nikita Nekrasov This is my paper · ORCID
classification math-phhep-thmath.AGmath.MPmath.QA
keywords quantumellipticinstantonsanaloguecalogero-mosercrossedcurvefolded
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Affine analogues of the Q-functions are constructed using folded instantons partition functions. They are shown to be the solutions of the quantum spectral curve of the N-body elliptic Calogero-Moser (eCM) system, the quantum Krichever curve. They also solve the elliptic analogue of the quantum Wronskian equation. In the companion paper we present the quantum analogue of Krichever's Lax operator for eCM. A connection to crossed instantons on Taub-Nut spaces, and opers on a punctured torus is pointed out.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spiralling branes, affine qq-characters and elliptic integrable systems

    hep-th 2024-12 accept novelty 7.0 of 10

    Quantum toroidal algebra intertwiners reproduce Ruijsenaars-Schneider and Koroteev-Shakirov Hamiltonians, Shiraishi functions, and a new proof of the noncommutative Jacobi identity for affine qq-characters.

  2. Surface Defects in $A$-type Little String Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    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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