Toda field theories on the noncommutative plane

@inproceedings{CabreraCarnero2005TodaFT,
  title={Toda field theories on the noncommutative plane},
  author={I. Cabrera-Carnero},
  year={2005}
}
  • I. Cabrera-Carnero
  • Published 2005
Generalizations of GL(n) abelian Toda and GL(n) abelian affine Toda theories to the noncommutative plane are constructed. Our proposal relies on the nc extension of the Leznov-Saveliev equations. The special cases of GL(2) Liouville and GL(2) sinh/sine-Gordon are explicitly studied.