Free field representation of Toda field theories
Apr 26, 1993
29 pages
Published in:
- Int.J.Mod.Phys.A 9 (1994) 57-86
e-Print:
- hep-th/9211112 [hep-th]
Report number:
- SISSA-210-92-EP
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Abstract:
We study the following problem: can a classical 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 solutions with non hyperbolic monodromy.Note:
- 29 pages, Latex, SISSA-ISAS 210/92/EP
- field theory: Toda
- dimension: 2
- representation: free field
- space-time
- field equations: solution
- algebra: oscillator
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