On the Solutions of Two-Extended Principal Conformal Toda Theory

✍ Scribed by L. Chao; B.Y. Hou

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 661 KB
• Volume: 230
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1994.1015

✦ Synopsis

The solutions of the two-extended principal conformal Toda theory (2-EPCT theory, also called bosonic superconformal Toda theory) are constructed in two different ways: (1) Leznov-Saveliev algebraic analysis and (2) the associated chiral embedding surface The first approach gives rise to the general solution in terms of appropriate matrix elements in different fundamental representations of the underlying Lie algebra, whilst the second one leads to a special solution in the form of Wronski determinants and their co-minors, and it gives an explicit geometrical interpretation of the WZNW (\rightarrow 2)-EPCT reduction. The key points of both approaches are the chiral vectors derived recently by the authors, which constitute a closed exchange algebra of the theory. 1994 Academic Press. Inc.