The Toda lattice hierarchy and deformation of conformal field theories
Journal Article
·
· Modern Physics Letters A; (United States)
- Tokyo Univ. (Japan). Dept. of Physics
- Dept. of Mathematics, Univ. of Tokyo, Bunky-ku, Tokyo 113 (JP)
In this paper, the authors point out that the Toda lattice hierarchy known in soliton theory is relevant for the description of the deformations of conformal field theories while the KP hierarchy describes unperturbed conformal theories. It is shown that the holomorphic parts of the conserved currents in the perturbed system (the Toda lattice hierarchy) coincide with the conserved currents in the KP hierarchy and can be written in terms of the W-algebraic currents. Furthermore, their anti-holomorphic counterparts are obtained.
- OSTI ID:
- 5220151
- Journal Information:
- Modern Physics Letters A; (United States), Vol. 5:7; ISSN 0217-7323
- Country of Publication:
- United States
- Language:
- English
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