Topological Conformal Algebra in $2d$ Gravity Coupled to Minimal Matter

Physics – High Energy Physics – High Energy Physics - Theory

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Plain Tex, 7 Pages, IC/93/307, (Talk given at the workshop of the ICTP Summer School on String Theory and Related Topics, July

Scientific paper

An infinite number of topological conformal algebras with varying central charges are explicitly shown to be present in $2d$ gravity (treated both in the conformal gauge and in the light-cone gauge) coupled to minimal matter. The central charges of the underlying $N=2$ theory in two different gauge choices are generically found to be different. The physical states in these theories are briefly discussed in the light of the $N=2$ superconformal symmetry.

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