## Spacetime foam in twistor string theory.(English)Zbl 1134.81045

It is shown that the Penrose transform provides a natural map between the Kähler moduli of Kähler anti-self-dual gravitational instantons in conformal supergravity and the D1 brane charge on the corresponding twistor spaces. This provides quantitative support for the idea that placing D1 branes in $$\mathbb CP^3$$ corresponds to blowing-up points in four dimensions. This relationship may shed light upon spacetime foam in four dimensions or upon the role of D1 brane instantons in topological string theory.

### MSC:

 81T45 Topological field theories in quantum mechanics 83E50 Supergravity 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 32L25 Twistor theory, double fibrations (complex-analytic aspects) 81R25 Spinor and twistor methods applied to problems in quantum theory 32Q25 Calabi-Yau theory (complex-analytic aspects)

### Keywords:

spacetime foam; twistor space
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