Quantum Foam and Topological Strings

Details Quantum Foam and Topological Strings Quantum Foam and Topological Strings

2003-12-02

arxiv.org/abs/hep-th/0312022v2

JHEP 0804:011,2008

Physics

High Energy Physics

High Energy Physics - Theory

55 pages

Scientific paper

10.1088/1126-6708/2008/04/011

We find an interpretation of the recent connection found between topological strings on Calabi-Yau threefolds and crystal melting: Summing over statistical mechanical configuration of melting crystal is equivalent to a quantum gravitational path integral involving fluctuations of Kahler geometry and topology. We show how the limit shape of the melting crystal emerges as the average geometry and topology of the quantum foam at the string scale. The geometry is classical at large length scales, modified to a smooth limit shape dictated by mirror geometry at string scale and is a quantum foam at area scales g_s \alpha'.

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