Noncommutative Jacobi identity, and gauge theory
Andrei Grekov, Nikita Nekrasov
TL;DR
This paper proves a noncommutative version of the Jacobi identity and explores its applications in gauge theories, including organizing q-characters and proposing a new gauge origami interpretation.
Contribution
It introduces a noncommutative Jacobi identity and applies it to gauge theories, offering new insights into q-characters and gauge origami.
Findings
Proved noncommutative Jacobi identity
Organized q-characters into an infinite product
Proposed gauge origami interpretation
Abstract
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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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Advanced Operator Algebra Research · Advanced Algebra and Geometry