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Spacetime foam in twistor string theory

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arxiv hep-th/0412044 v2 pith:6GMJ2GSM submitted 2004-12-05 hep-th gr-qc

Sean A. Hartnoll , Giuseppe Policastro This is my paper
classification hep-thgr-qc
keywords foamspacetimetwistorspacesstringsupertheoryarbitrary
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abstract

We show how a Kahler spacetime foam in four dimensional conformal (super)gravity may be mapped to twistor spaces carrying the D1 brane charge of the B model topological string theory. The spacetime foam is obtained by blowing up an arbitrary number of points in $\C^2$ and can be interpreted as a sum over gravitational instantons. Some twistor spaces for blowups of $\C^2$ are known explicitly. In these cases we write down a meromorphic volume form and suggest a relation to a holomorphic superform on a corresponding super Calabi-Yau manifold.

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