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$f W_infty$ Gravity - a Geometric Approach | | Emil Nissimov
; Svetlana Pacheva
; | | Date: |
14 Jul 1992 | | Journal: | Theor.Math.Phys. 93 (1992) 1268-1278; Teor.Mat.Fiz. 93 (1992) 273-285 | | Subject: | hep-th | | Abstract: | A brief review is given of an adaptation of the coadjoint orbit method appropriate for study of models with infinite-dimensional symmetry groups. It is illustrated on several examples, including derivation of the WZNW action of induced $D=2,$ $(N,0),$ supergravity. As a main application, we present the geometric action on a generic coadjoint orbit of the deformed group of area preserving diffeomorphisms. This action is precisely the anomalous effective WZNW action of $D=2 ,$ matter fields coupled to chiral $W_infty$ gravity background. Similar actions are given which produce the {em KP} hierarchy as on-shell equations of motion. | | Source: | arXiv, hep-th/9207048 | | Services: | Forum | Review | PDF | Favorites | |
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