Homogeneous conformal string backgrounds
Open Access
- 1 March 1995
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 12 (3) , 677-688
- https://doi.org/10.1088/0264-9381/12/3/006
Abstract
We present exact solutions characterised by Bianchi-type I,II,III,V,VI four-dimensional metric, space-independent dilaton, and vanishing torsion background, for the low energy string effective action with zero central charge deficit. We show that, in such a context, curvature singularities cannot be avoided, except for the trivial case of flat spacetime and constant dilaton. We also provide a further example of the failure of the standard prescription for connecting conformal string backgrounds through duality transformations associated to non-semisimple, non-Abelian isometry group.Keywords
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