Lax Pair Formulation of the W-gravity Theories in two Dimensions

dc.creatorLina, J. M.
dc.creatorPanigrahi, P. K.
dc.date1992-01-28
dc.date.accessioned2026-07-07T04:18:42Z
dc.date.available2026-07-07T04:18:42Z
dc.descriptionThe Lax pair formulation of the two dimensional induced gravity in the light-cone gauge is extended to the more general $w_N$ theories. After presenting the $w_2$ and $w_3$ gravities, we give a general prescription for an arbitrary $w_N$ case. This is further illustrated with the $w_4$ gravity to point out some peculiarities. The constraints and the possible presence of the cosmological constants are systematically exhibited in the zero-curvature condition, which also yields the relevant Ward identities. The restrictions on the gauge parameters in presence of the constraints are also pointed out and are contrasted with those of the ordinary 2d-gravity.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9201060
dc.identifierhttp://arxiv.org/abs/hep-th/9201060
dc.identifierInt.J.Mod.Phys. A7 (1992) 6907-6932
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53290
dc.subjectHigh Energy Physics - Theory
dc.titleLax Pair Formulation of the W-gravity Theories in two Dimensions
dc.typetext

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