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arXiv · 0704.3080

D-branes as a Bubbling Calabi-Yau

Jaume Gomis·Takuya Okuda
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Abstract

We prove that the open topological string partition function on a D-brane configuration in a Calabi-Yau manifold X takes the form of a closed topological string partition function on a different Calabi-Yau manifold X_b. This identification shows that the physics of D-branes in an arbitrary background X of topological string theory can be described either by open+closed string theory in X or by closed string theory in X_b. The physical interpretation of the ''bubbling'' Calabi-Yau X_b is as the space obtained by letting the D-branes in X undergo a geometric transition. This implies, in particular, that the partition function of closed topological string theory on certain bubbling Calabi-Yau manifolds are invariants of knots in the three-sphere.

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Jaume Gomis, Takuya Okuda. 2007-06-15. D-branes as a Bubbling Calabi-Yau. https://doi.org/10.1088/1126-6708%2F2007%2F07%2F005

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