The European Physical Journal C

, Volume 50, Issue 3, pp 683–689 | Cite as

The geometrical form for the string space-time action

  • D.S. Popović
  • B. SazdovićEmail author
Regular Article - Theoretical Physics


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.


Covariant Derivative Integration Measure Geometrical Form Parallel Transport Antisymmetric Tensor 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  1. 1.Institute of PhysicsBelgradeSerbia

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