STRING VACUUM BACKGROUNDS WITH COVARIANTLY CONSTANT NULL KILLING VECTOR AND 2-DIMENSIONAL QUANTUM-GRAVITY

被引:72
作者
TSEYTLIN, AA [1 ]
机构
[1] UNIV CAMBRIDGE,DAMTP,CAMBRIDGE,ENGLAND
关键词
D O I
10.1016/0550-3213(93)90389-7
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider a two-dimensional sigma model with a (2 + N)-dimensional Minkowski signature target space metric having a covariantly constant null Killing vector. We study solutions of the conformal invariance conditions in 2 + N dimensions and find that generic solutions can be represented in terms of the RG flow in N-dimensional ''transverse space'' theory. The resulting conformal invariant sigma model is interpreted as a quantum action of the two-dimensional scalar (''dilaton'') quantum gravity model coupled to a (non-conformal) ''transverse'' sigma model. The conformal factor of the two-dimensional metric is identified with a light-cone coordinate of the (2 + N)-dimensional sigma model. We also discuss the case when the transverse theory is conformal (with or without the antisymmetric tensor background) and reproduce in a systematic way the solutions with flat transverse space known before.
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页码:153 / 172
页数:20
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