Noncommutative Jacobi identity, and gauge theory

Andrei Grekov; Nikita Nekrasov

Noncommutative Jacobi identity, and gauge theory

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arxiv 2411.17144 v2 pith:HVF4CSCQ submitted 2024-11-26 math-ph hep-thmath.MPmath.QA

Andrei Grekov , Nikita Nekrasov This is my paper · ORCID

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We prove the noncommutative analogue of Jacobi triple product identity. As an application we organizing the q-characters of circular quiver gauge theories into an infinite product. We conjecture the gauge origami theory interpretation of the Jacobi identity.

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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.

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