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Global aspects of the WZNW reduction to Toda theories

Technical Report:

Abstract

It is well-known that the Toda Theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW {yields} Toda reduction is `incomplete`. The reason for this incompleteness being that the Gauss decomposition used to define the Toda fields from the WZNW field is valid locally but not globally over the WZNW group manifold, which implies that actually the reduced system is not just the Toda theory but has much richer structures. In this note we furnish a framework which allows us to study the reduced system globally, and thereby present some preliminary results on the global aspects. For simplicity, we analyze primarily 0+1 dimensional toy models for G=SL(n,R), but we also discuss the 1+1 dimensional model for G=SL(2,R) which corresponds to the WZNW {yields} Liouville reduction. (author).
Publication Date:
Aug 01, 1994
Product Type:
Technical Report
Report Number:
INS-1048
Reference Number:
SCA: 662110; PA: JPN-94:012138; EDB-95:025642; SN: 95001319946
Resource Relation:
Other Information: PBD: Aug 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SL GROUPS; IRREDUCIBLE REPRESENTATIONS; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; CHIRAL SYMMETRY; PARTICLE STRUCTURE; PARTICLE INTERACTIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10109295
Research Organizations:
Tokyo Univ., Tanashi (Japan). Inst. for Nuclear Study
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE95737230; TRN: JP9412138
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
23 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Tsutsui, I, and Feher, L. Global aspects of the WZNW reduction to Toda theories. Japan: N. p., 1994. Web.
Tsutsui, I, & Feher, L. Global aspects of the WZNW reduction to Toda theories. Japan.
Tsutsui, I, and Feher, L. 1994. "Global aspects of the WZNW reduction to Toda theories." Japan.
@misc{etde_10109295,
title = {Global aspects of the WZNW reduction to Toda theories}
author = {Tsutsui, I, and Feher, L}
abstractNote = {It is well-known that the Toda Theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW {yields} Toda reduction is `incomplete`. The reason for this incompleteness being that the Gauss decomposition used to define the Toda fields from the WZNW field is valid locally but not globally over the WZNW group manifold, which implies that actually the reduced system is not just the Toda theory but has much richer structures. In this note we furnish a framework which allows us to study the reduced system globally, and thereby present some preliminary results on the global aspects. For simplicity, we analyze primarily 0+1 dimensional toy models for G=SL(n,R), but we also discuss the 1+1 dimensional model for G=SL(2,R) which corresponds to the WZNW {yields} Liouville reduction. (author).}
place = {Japan}
year = {1994}
month = {Aug}
}