Free field representation of Toda field theories

  title={Free field representation of Toda field theories},
  author={Loriano Bonora and V. Bonservizi and R. Paunov},
We study the following problem: can a classical sln Toda field theory be represented by means of free bosonic oscillators through a Drinfeld–Sokolov construction? We answer affirmatively in the case of a cylindrical space–time and for real hyperbolic solutions of the Toda field equations. We establish in fact a one–to–one correspondence between such solutions and the space of free left and right bosonic oscillators with coincident zero modes. We discuss the same problem for real singular… CONTINUE READING

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