Open String Gravity?

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, JHEP class; references added; bbl file attached

Scientific paper

10.1088/1126-6708/2004/12/028

We present a new application of Boundary String Field Theory: calculating the induced-gravity action on a D-brane. Using a simple quadratic tachyon potential to model a D-brane fluctuating in the flat target space we derive the effective action in terms of the extrinsic curvature to all orders in alpha'. We identify both the Born-Infeld structure as well as the Einstein-Hilbert term at order alpha'. This corroborates the conjectured existence of the latter term in the brane-world scenarios. The higher order terms in Ricci scalar and extrinsic curvature suggest a pattern which calls for an explanation.

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