4
$\begingroup$

It is well-known that Toda systems (Toda field theory) can possess different algebraic structure based on Cartan Matrix in the Hamiltonian's potential.

But all solutions I have seen were written only for either Liouville (trivial) case or $A_2$ algebra.

I wonder if there exist (analytical) solutions for other (semi-) simple Lie algebras, e.g. $B_2, G_2, D_2$ (and higher dimensional if possible).

Thank you.

Improve this question
$\endgroup$
2
  • $\begingroup$ Can you give an example of what you are looking for in the $A_2$ case ? $\endgroup$
    – Antoine
    Commented Feb 14, 2017 at 9:43
  • $\begingroup$ @user40085 something like this: link.springer.com/article/10.1007/BF01390233 $\endgroup$
    – newt
    Commented Feb 14, 2017 at 10:21

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.