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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LATEX, 10 pages

Scientific paper

$D=2$ free string in linear dilaton background is considered in so called target space/world-sheet light cone gauge $ X^{+}=0,~g_{++}=0,~g_{+-}=1$. After gauge fixing the theory has the residual Virasoro and $U(1)$ current symmetries. The physical spectrum related to $SL_2$ 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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