Light-Cone Gauge for 1+1 Strings

Details Light-Cone Gauge for 1+1 Strings Light-Cone Gauge for 1+1 Strings

1992-01-23

arxiv.org/abs/hep-th/9201049v1

Nucl.Phys. B382 (1992) 229-241

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1016/0550-3213(92)90185-E

Explicit construction of the light-cone gauge quantum theory of bosonic strings in 1+1 spacetime dimensions reveals unexpected structures. One is the existence of a gauge choice that gives a free action at the price of propagating ghosts and a nontrivial BRST charge. Fixing this gauge leaves a U(1) Kac-Moody algebra of residual symmetry, generated by a conformal tensor of rank two and a conformal scalar. Another is that the BRST charge made from these currents is nilpotent when the action includes a linear dilaton background, independent of the particular value of the dilaton gradient. Spacetime Lorentz invariance in this theory is still elusive, however, because of the linear dilaton background and the nature of the gauge symmetries.

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