The geometrical form for the string space-time action

Details The geometrical form for the string space-time action The geometrical form for the string space-time action

2007-01-29

arxiv.org/abs/hep-th/0701264v1

Eur.Phys.J.C50:683-689,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1140/epjc/s10052-007-0224-8

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 probe bosonic string moving in antisymmetric and dilaton background fields. We show that the presence of the antisymmetric field leads to the space-time torsion, and the presence of the dilaton field leads to the space-time nonmetricity. Using these results we obtain the integration measure for space-time with stringy nonmetricity, requiring its preservation under parallel transport. We derive the Lagrangian depending on stringy curvature, torsion and nonmetricity.

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