On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to Matter

Details On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to Matter On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to Matter

1993-05-10

arxiv.org/abs/hep-th/9305039v1

Phys.Lett. B317 (1993) 533-539

Physics

High Energy Physics

High Energy Physics - Theory

Plain Tex, 13 pages, IC/93/81, UG-3/93

Scientific paper

10.1016/0370-2693(93)91368-W

It is shown that the two dimensional gravity, described either in the conformal gauge (the Liouville theory) or in the light cone gauge, when coupled to matter possesses an infinite number of twisted $N=2$ superconformal symmetries. The central charges of the $N=2$ algebra for the two gauge choices are in general different. Further, it is argued that the physical states in the light cone gauge theory can be obtained from the Liouville theory by a field redefinition.

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