English

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

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9504106,
  title  = {Conserved Monodromy RTT=TTR Algebra in the Quantum Self-Dual Yang-Mills System},
  author = {Ling-Lie Chau and Itaru Yamanaka},
  journal= {arXiv preprint arXiv:hep-th/9504106},
  year   = {2007}
}

Comments

11 pages, uses phyzzx