Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-02-21
Nucl.Phys.B424:71-96,1994
Physics
High Energy Physics
High Energy Physics - Theory
33 p., harvmac, Imperial/TP/93-94/17 (minor changes: few explanations added)
Scientific paper
10.1016/0550-3213(94)90089-2
We construct a new class of exact string solutions with a four dimensional target space metric of signature ($-,+,+,+$) by gauging the independent left and right nilpotent subgroups with `null' generators of WZNW models for rank 2 non-compact groups $G$. The `null' property of the generators (${\rm Tr }(N_n N_m)=0$) implies the consistency of the gauging and the absence of $\a'$-corrections to the semiclassical backgrounds obtained from the gauged WZNW models. In the case of the maximally non-compact groups ($G= SL(3), SO(2,2), SO(2,3), G_2$) the construction corresponds to gauging some of the subgroups generated by the nilpotent `step' operators in the Gauss decomposition. The rank 2 case is a particular example of a general construction leading to conformal backgrounds with one time-like direction. The conformal theories obtained by integrating out the gauge field can be considered as sigma model analogs of Toda models (their classical equations of motion are equivalent to Toda model equations). The procedure of `null gauging' applies also to other non-compact groups.
Klimcik Ctirad
Tseytlin Arkady A.
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