A Lie Algebra for Closed Strings , Spin Chains and Gauge Theories

@inproceedings{Lee1998ALA,
  title={A Lie Algebra for Closed Strings , Spin Chains and Gauge Theories},
  author={Chang Hyeong Lee and Sarada. G. Rajeev},
  year={1998}
}
We consider quantum dynamical systems whose degrees of freedom are described by N × N matrices, in the planar limit N → ∞. Examples are gauge theories and the M(atrix)-theory of strings. States invariant under U(N) are 'closed strings', modelled by traces of products of matrices. We have discovered that the U(N)-invariant operators acting on both open and closed string states form a remarkable new Lie algebra which we will call the heterix algebra. (The simplest special case, with one degree of… CONTINUE READING

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