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arXiv · hep-th/9605007

String Theory In Curved Space-Time

K. S. Viswanathan·R. Parthasarathy
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Abstract

Intrinsic and extrinsic geometric properties of string world sheets in curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. Classical equation of motion and the space-time energy-momentum tensor of the string are obtained. The equations of motion for the extrinsic curvature action are second order for the scalar mean curvature of the world sheet. 1-loop divergent terms are calculated using the background field method. Asymptotic freedom of the extrinsic curvature coupling is established.

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K. S. Viswanathan, R. Parthasarathy. 1996-08-02. String Theory In Curved Space-Time. https://doi.org/10.1103/physrevd.55.3800

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