D=2D=2 String Theory in Target Space/World-Sheet Light-Cone Gauge

preprint1993arXivOpen access

Abstract

D=2D=2 free string in linear dilaton background is considered in so called target space/world-sheet light cone gauge X+=0, g++=0, g+−=1 X^{+}=0,~g_{++}=0,~g_{+-}=1. After gauge fixing the theory has the residual Virasoro and U(1)U(1) current symmetries. The physical spectrum related to SL2SL_2 invariant vacuum is found to be trivial. We find that the theory has a nontrivial spectrum if the states in different non-equivalent representations ("pictures") of CFT algebra of matter fields are considered.

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