Quantum Foam and Topological Strings

@misc{citeulike:895401, abstract = {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'.}, author = {Iqbal, A. and Nekrasov, N. and Okounkov, A. and Vafa, C. }, citeulike-article-id = {895401}, eprint = {hep-th/0312022}, month = {Dec}, posted-at = {2006-10-13 14:04:44}, priority = {2}, title = {Quantum Foam and Topological Strings}, url = {http://arxiv.org/abs/hep-th/0312022}, year = {2003} }

TY - ELEC ID - citeulike:895401 L3 - citeulike-article-id:895401 TI - Quantum Foam and Topological Strings N2 - 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'. AU - Iqbal, A AU - Nekrasov, N AU - Okounkov, A AU - Vafa, C PY - 2003/Dec/22/ UR - http://arxiv.org/abs/hep-th/0312022 ER -