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.


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)
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