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

Hartnoll, Sean A.; Policastro, Giuseppe

Adv. Theor. Math. Phys. 10, No. 2, 181-216 (2006).

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.

Reviewer: Vladimir Dzhunushaliev (Bishkek)

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