A review that derives Krichever's elliptic Calogero-Moser Lax matrix from qq-characters of instanton moduli spaces, with K-theoretic and elliptic counterparts, plus Lax eigenvectors from folded instantons.
Elliptic Calogero-Moser system from two dimensional current algebra
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abstract
We show that elliptic Calogero-Moser system and its Lax operator found by Krichever can be obtained by Hamiltonian reduction from the integrable Hamiltonian system on the cotangent bundle to the central extension of the algebra of SL(N,C) currents.Elliptic deformation of Yang-Mills theory is presented.
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Classical elliptic integrable systems from the moduli space of instantons
A review that derives Krichever's elliptic Calogero-Moser Lax matrix from qq-characters of instanton moduli spaces, with K-theoretic and elliptic counterparts, plus Lax eigenvectors from folded instantons.