Conserved Monodromy RTT=TTR Algebra in the Quantum Self-Dual Yang-Mills System

Details Conserved Monodromy RTT=TTR Algebra in the Quantum Self-Dual Yang-Mills System Conserved Monodromy RTT=TTR Algebra in the Quantum Self-Dual Yang-Mills System

1995-04-20

arxiv.org/abs/hep-th/9504106v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, uses phyzzx

Scientific paper

We find a conserved monodromy matrix differential operator T in the quantum Self-Dual Yang-Mills (SDYM) system and show that it satisfies the exchange algebra RTT=TTR. From its two infinitesimal forms, we obtain the infinite conserved quantum nonlocal-charge algebras and the infinite conserved Yangian algebras. It is remarkable that such conserved algebras exist in a four-dimensional nontrivial quantum field theory with interactions.

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