English

Large\bf $ w_{1+\infty} $--type constraints in two--matrix and Kontsevich model--different approach

High Energy Physics - Theory 2007-05-23 v1

Abstract

The technique of QQ-polinomials are used to derive the ww- constraints in the two-matrix and Kontsevich-like model at finite NN. These constraints are closed and form Lie algebra. They are associated with the matrices, λnλm\lambda ^n{\partial}_\lambda^m with n,m0n,m\geq 0. In the case of two-matrix model they can be reduced to the WW-constraints of \cite{8}. For the case of Kontsevich-like model and two-matrix model with the finite polinomial potential, the number of constraints are limited by the power of the finite matrix potential i.e. the spin of ww-s coincide with that power. This statement is the natural consequence of the form of constraints.

Keywords

Cite

@article{arxiv.hep-th/9211131,
  title  = {Large\bf $ w_{1+\infty} $--type constraints in two--matrix and Kontsevich model--different approach},
  author = {N. L. Khviengia},
  journal= {arXiv preprint arXiv:hep-th/9211131},
  year   = {2007}
}

Comments

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