THE TODA LATTICE FIELD THEORY HIERARCHIES AND ZERO CURVATURE CONDITIONS IN KAC-MOODY ALGEBRAS
198516 pages
Published in:
- Nucl.Phys.B 265 (1986) 469-484
- Published: 1986
Report number:
- UCSB-TH-5-1985
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Abstract: (Elsevier)
The two-dimensional Toda lattice field theories possess an infinite number of local conserved quantities in involution. These can be used as hamiltonians to define a consistent simultaneous evolution in the infinite number of associated times. Our previous explicit construction of the corresponding zero-curvature gauge potentials is used to extend the zero curvature to the complete infinite-dimensional space defined by these times by means of the Yang-Baxter equations. This result is elevated to the full Kac-Moody algebra with central extension thereby providing a link with the work of the Kyoto school.- GAUGE FIELD THEORY: TWO-DIMENSIONAL
- LATTICE FIELD THEORY: TODA
- CONSERVATION LAW
- ALGEBRA: KAC-MOODY
- ALGEBRA: LIE
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