## Advances in Theoretical and Mathematical Physics

### Spacetime foam in twistor string theory

#### Abstract

We show how a Kähler 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 $\mathbb{C}^2$ and can be interpreted as a sum over gravitational instantons. Some twistor spaces for blowups of $\mathbb{C}^2$ 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.

#### Article information

Source
Adv. Theor. Math. Phys., Volume 10, Number 2 (2006), 181-216.

Dates
First available in Project Euclid: 30 July 2006

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1154236302

Mathematical Reviews number (MathSciNet)
MR2249570

Zentralblatt MATH identifier
1134.81045

#### Citation

Hartnoll, Sean A.; Policastro, Giuseppe. Spacetime foam in twistor string theory. Adv. Theor. Math. Phys. 10 (2006), no. 2, 181--216. https://projecteuclid.org/euclid.atmp/1154236302