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c=rGtheories of WG-gravity: the set of observables as a model of simply laced G

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
404
Identifiers
DOI: 10.1016/0550-3213(93)90486-9
Disciplines
  • Design
  • Mathematics

Abstract

Abstract We propose to study a generalization of the Klebanov-Polyakov-Witten (KPW) construction for the algebra of observables in the c = 1 string model to theories with c > 1. We emphasize the algebraic meaning of the KPW construction for c = 1 related to the occurrence of a model of SU(2) as the original structure on the algebra of observables. The attempts to preserve this structure in generalizations naturally leads to the consideration of W-gravities. As a first step in the study of these generalized KPW constructions we design explicitly the subsector of the space of observables in an appropriate W G-string theory, which forms the model of G for any simply laced G. The model structure is confirmed by the fact that corresponding one-loop Kac-Rocha-Caridi W G-characters for c = r G sum into a chiral (open string) k = 1 G-WZW partition function.

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