Regular Article - Theoretical Physics
The geometrical form for the string space-time action
Institute of Physics, 11001, Belgrade, P.O. Box 57, Serbia
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Revised: 9 October 2006
Published online: 16 February 2007
In the present article, we derive the space-time action of the bosonic string in terms of geometrical quantities. First, we study the space-time geometry felt by a probe bosonic string moving in antisymmetric and dilaton background fields. We show that the presence of the antisymmetric field leads to space-time torsion, and the presence of the dilaton field leads to space-time non-metricity. Using these results we obtain the integration measure for space-time with stringy non-metricity, requiring its preservation under parallel transport. We derive the Lagrangian depending on stringy curvature, torsion and non-metricity.
© Springer-Verlag Berlin Heidelberg, 2007