It is shown that the 2D 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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Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USAUniv Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
Kos, Filip
Oh, Jihwan
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Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
Perimeter Inst Theoret Phys, 31 Caroline St N, Waterloo, ON N2L 2Y5, CanadaUniv Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA