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arXiv · hep-th/0701264

The geometrical form for the string space-time action

D. S. Popović·B. Sazdović
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Abstract

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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D. S. Popović, B. Sazdović. 2007-01-29. The geometrical form for the string space-time action. https://doi.org/10.1140/epjc%2Fs10052-007-0224-8

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