String Theory In Curved Space-Time

Details String Theory In Curved Space-Time String Theory In Curved Space-Time

1996-05-02

arxiv.org/abs/hep-th/9605007v3

Phys.Rev. D55 (1997) 3800-3810

Physics

High Energy Physics

High Energy Physics - Theory

More discussions added in the Introduction and under Eq.64. Additional references included. 27 pages; Revtex

Scientific paper

10.1103/PhysRevD.55.3800

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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