The geometrical form for the string space-time action |
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Authors: | DS Popovi? B Sazdovi? |
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Institution: | (1) Institute of Physics, 11001 Belgrade, P.O. Box 57, Serbia |
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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 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. |
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Keywords: | |
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